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19,600 | 2001.04872 | Peter Sorrenson | Peter Sorrenson, Carsten Rother, Ullrich K\"othe | Disentanglement by Nonlinear ICA with General Incompressible-flow
Networks (GIN) | 23 pages, 15 figures, ICLR 2020 | null | null | null | cs.LG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A central question of representation learning asks under which conditions it
is possible to reconstruct the true latent variables of an arbitrarily complex
generative process. Recent breakthrough work by Khemakhem et al. (2019) on
nonlinear ICA has answered this question for a broad class of conditional
generative processes. We extend this important result in a direction relevant
for application to real-world data. First, we generalize the theory to the case
of unknown intrinsic problem dimension and prove that in some special (but not
very restrictive) cases, informative latent variables will be automatically
separated from noise by an estimating model. Furthermore, the recovered
informative latent variables will be in one-to-one correspondence with the true
latent variables of the generating process, up to a trivial component-wise
transformation. Second, we introduce a modification of the RealNVP invertible
neural network architecture (Dinh et al. (2016)) which is particularly suitable
for this type of problem: the General Incompressible-flow Network (GIN).
Experiments on artificial data and EMNIST demonstrate that theoretical
predictions are indeed verified in practice. In particular, we provide a
detailed set of exactly 22 informative latent variables extracted from EMNIST.
| [{'version': 'v1', 'created': 'Tue, 14 Jan 2020 16:25:08 GMT'}] | 2020-01-15 | [array(['Sorrenson', 'Peter', ''], dtype=object)
array(['Rother', 'Carsten', ''], dtype=object)
array(['Köthe', 'Ullrich', ''], dtype=object)] |
19,601 | 1608.01577 | Jan Hladky | Anna Adamaszek, Peter Allen, Codrut Grosu, Jan Hladky | Almost all trees are almost graceful | 46 pages, 3 figures; minor changes | Random Structures and Algorithms Volume 56 (4), 2020, pages
948-987 | 10.1002/rsa.20906 | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Graceful Tree Conjecture of Rosa from 1967 asserts that the vertices of
each tree T of order n can be injectively labelled by using the numbers
{1,2,...,n} in such a way that the absolute differences induced on the edges
are pairwise distinct.
We prove the following relaxation of the conjecture for each c>0 and for all
n>n_0(c). Suppose that (i) the maximum degree of T is bounded by O(n/log n),
and (ii) the vertex labels are chosen from the set {1,2,..., (1+c)n}. Then
there is an injective labelling of V(T) such that the absolute differences on
the edges are pairwise distinct. In particular, asymptotically almost all trees
on n vertices admit such a labelling.
As a consequence, for any such tree T we can pack (2+2c)n-1 copies of T into
the complete graph of order (2+2c)n-1 cyclically. This proves an approximate
version of the Ringel-Kotzig conjecture (which asserts the existence of a
cyclic packing of 2n-1 copies of any T into the complete graph of order 2n-1)
for these trees.
The proof proceeds by showing that a certain very natural randomized
algorithm produces a desired labelling with high probability.
| [{'version': 'v1', 'created': 'Thu, 4 Aug 2016 15:16:36 GMT'}
{'version': 'v2', 'created': 'Mon, 8 Aug 2016 18:52:09 GMT'}
{'version': 'v3', 'created': 'Tue, 14 Nov 2017 15:19:09 GMT'}
{'version': 'v4', 'created': 'Mon, 3 Dec 2018 13:11:20 GMT'}
{'version': 'v5', 'created': 'Sat, 25 May 2019 08:10:31 GMT'}
{'version': 'v6', 'created': 'Tue, 24 Sep 2019 07:10:11 GMT'}] | 2020-06-23 | [array(['Adamaszek', 'Anna', ''], dtype=object)
array(['Allen', 'Peter', ''], dtype=object)
array(['Grosu', 'Codrut', ''], dtype=object)
array(['Hladky', 'Jan', ''], dtype=object)] |
19,602 | 2205.06261 | Zane Rossi | Zane M. Rossi and Isaac L. Chuang | Multivariable quantum signal processing (M-QSP): prophecies of the
two-headed oracle | 23 pages + 4 figures + 10 page appendix (added background information
on algebraic geometry; publication in Quantum) | Quantum 6, 811 (2022) | 10.22331/q-2022-09-20-811 | null | quant-ph | http://creativecommons.org/licenses/by/4.0/ | Recent work shows that quantum signal processing (QSP) and its multi-qubit
lifted version, quantum singular value transformation (QSVT), unify and improve
the presentation of most quantum algorithms. QSP/QSVT characterize the ability,
by alternating ans\"atze, to obliviously transform the singular values of
subsystems of unitary matrices by polynomial functions; these algorithms are
numerically stable and analytically well-understood. That said, QSP/QSVT
require consistent access to a single oracle, saying nothing about computing
joint properties of two or more oracles; these can be far cheaper to determine
given an ability to pit oracles against one another coherently.
This work introduces a corresponding theory of QSP over multiple variables:
M-QSP. Surprisingly, despite the non-existence of the fundamental theorem of
algebra for multivariable polynomials, there exist necessary and sufficient
conditions under which a desired stable multivariable polynomial transformation
is possible. Moreover, the classical subroutines used by QSP protocols survive
in the multivariable setting for non-obvious reasons, and remain numerically
stable and efficient. Up to a well-defined conjecture, we give proof that the
family of achievable multivariable transforms is as loosely constrained as
could be expected. The unique ability of M-QSP to obliviously approximate joint
functions of multiple variables coherently leads to novel speedups
incommensurate with those of other quantum algorithms, and provides a bridge
from quantum algorithms to algebraic geometry.
| [{'version': 'v1', 'created': 'Thu, 12 May 2022 17:58:59 GMT'}
{'version': 'v2', 'created': 'Wed, 14 Sep 2022 07:50:19 GMT'}] | 2022-09-21 | [array(['Rossi', 'Zane M.', ''], dtype=object)
array(['Chuang', 'Isaac L.', ''], dtype=object)] |
19,603 | 1303.3945 | Hideo Bannai | Toshiya Tanaka, Tomohiro I, Shunsuke Inenaga, Hideo Bannai, Masayuki
Takeda | Computing convolution on grammar-compressed text | DCC 2013 | null | null | null | cs.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The convolution between a text string $S$ of length $N$ and a pattern string
$P$ of length $m$ can be computed in $O(N \log m)$ time by FFT. It is known
that various types of approximate string matching problems are reducible to
convolution. In this paper, we assume that the input text string is given in a
compressed form, as a \emph{straight-line program (SLP)}, which is a context
free grammar in the Chomsky normal form that derives a single string. Given an
SLP $\mathcal{S}$ of size $n$ describing a text $S$ of length $N$, and an
uncompressed pattern $P$ of length $m$, we present a simple $O(nm \log m)$-time
algorithm to compute the convolution between $S$ and $P$. We then show that
this can be improved to $O(\min\{nm, N-\alpha\} \log m)$ time, where $\alpha
\geq 0$ is a value that represents the amount of redundancy that the SLP
captures with respect to the length-$m$ substrings. The key of the improvement
is our new algorithm that computes the convolution between a trie of size $r$
and a pattern string $P$ of length $m$ in $O(r \log m)$ time.
| [{'version': 'v1', 'created': 'Sat, 16 Mar 2013 05:07:24 GMT'}] | 2013-03-19 | [array(['Tanaka', 'Toshiya', ''], dtype=object)
array(['I', 'Tomohiro', ''], dtype=object)
array(['Inenaga', 'Shunsuke', ''], dtype=object)
array(['Bannai', 'Hideo', ''], dtype=object)
array(['Takeda', 'Masayuki', ''], dtype=object)] |
19,604 | 2202.09040 | Rakesh Ashok | Shivangi Chugh, Rakesh Ashok, Punit Jain, Sana Naaz, Aboobackkar
Sidhique, and Shalabh Gupta | An Analog Signal Processing EIC-PIC Solution for Coherent Data Center
Interconnects | null | null | null | null | eess.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Data center interconnects (DCIs) will have to support throughputs of 400 Gbps
or more per wavelength in the near future. To achieve such high data rates,
coherent modulation and detection is used, which conventionally requires
high-speed data conversion and signal processing in the digital domain.
Alternatively, high-speed signal conditioning and processing could be carried
out in co-designed photonic and electronic integrated circuits, in the optical
and electrical analog domains, respectively, to achieve reduced power
consumption, latency, form factor, and cost. A few demonstrations of analog
domain processing electronic integrated circuits (EICs), including those of
equalizer and carrier phase recovery (CPR) modules showcase progress in this
direction in the literature. In this brief, for the first time, we present
integration of a silicon photonic integrated coherent receiver (ICR) module
with a CPR module, as a part of a complete coherent receiver solution. A phase
shifter in the ICR (fabricated in a 220 nm silicon-on-insulator technology)
receives feedback from a CPR EIC, and the combination compensates for the time
varying phase offset between the modulated signal and the unmodulated carrier
in the closed loop configuration. In this proof-of-concept demonstration, we
present experimental results obtained from the stand-alone silicon photonic ICR
along with its system level integration with CPR chip, for QPSK signals. The
technique can be extended to a higher-order modulation format, such as 16-QAM,
for data rate scaling. The proposed scheme is suitable for homodyne systems,
such as polarization multiplexed carrier based self-homodyne links.
| [{'version': 'v1', 'created': 'Fri, 18 Feb 2022 06:18:19 GMT'}] | 2022-02-21 | [array(['Chugh', 'Shivangi', ''], dtype=object)
array(['Ashok', 'Rakesh', ''], dtype=object)
array(['Jain', 'Punit', ''], dtype=object)
array(['Naaz', 'Sana', ''], dtype=object)
array(['Sidhique', 'Aboobackkar', ''], dtype=object)
array(['Gupta', 'Shalabh', ''], dtype=object)] |
19,605 | 2205.15519 | Bowen Li | Bowen Li, Jianfeng Lu, Ziang Yu | Vector-wise Joint Diagonalization of Almost Commuting Matrices | null | null | null | null | math.NA cs.NA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This work aims to numerically construct exactly commuting matrices close to
given almost commuting ones, which is equivalent to the joint approximate
diagonalization problem. We first prove that almost commuting matrices
generically has approximate common eigenvectors that are almost orthogonal to
each other. Based on this key observation, we propose a fast and robust
vector-wise joint diagonalization (VJD) algorithm, which constructs the
orthogonal similarity transform by sequentially finding these approximate
common eigenvectors. In doing so, we consider sub-optimization problems over
the unit sphere, for which we present a Riemannian quasi-Newton method with
rigorous convergence analysis. We also discuss the numerical stability of the
proposed VJD algorithm. Numerical examples with applications in independent
component analysis are provided to reveal the relation with Huaxin Lin's
theorem and to demonstrate that our method compares favorably with the
state-of-the-art Jacobi-type joint diagonalization algorithm.
| [{'version': 'v1', 'created': 'Tue, 31 May 2022 03:37:32 GMT'}] | 2022-06-01 | [array(['Li', 'Bowen', ''], dtype=object)
array(['Lu', 'Jianfeng', ''], dtype=object)
array(['Yu', 'Ziang', ''], dtype=object)] |
19,606 | 1712.03720 | Timo Oude Vrielink | T.J.C. Oude Vrielink, Y.W. Pang, M. Zhao, S.-L. Lee, A. Darzi and G.P.
Mylonas | Surgical task-space optimisation of the CYCLOPS robotic system | * TJC Oude Vrielink and YW Pang are joint first authors. Submitted to
ICRA 2018, 8 pages, 10 Figures | null | null | null | cs.RO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The CYCLOPS is a cable-driven parallel mechanism used for minimally invasive
applications, with the ability to be customised to different surgical needs;
allowing it to be made procedure- and patient-specific. For adequate
optimisation, however, appropriate data on clinical constraints and task-space
is required. Whereas the former can be provided through preoperative planning
and imaging, the latter remains a problem, primarily for highly dexterous MIS
systems. The current work focuses on the development of a task-space
optimisation method for the CYCLOPS system and the development of a data
collection method in a simulation environment for minimally invasive
task-spaces. The same data collection method can be used for the development of
other minimally invasive platforms. A case-study is used to illustrate the
developed method for Endoscopic Submucosal Dissection (ESD). This paper shows
that using this method, the system can be succesfully optimised for this
application.
| [{'version': 'v1', 'created': 'Mon, 11 Dec 2017 11:24:23 GMT'}] | 2017-12-12 | [array(['Vrielink', 'T. J. C. Oude', ''], dtype=object)
array(['Pang', 'Y. W.', ''], dtype=object)
array(['Zhao', 'M.', ''], dtype=object)
array(['Lee', 'S. -L.', ''], dtype=object)
array(['Darzi', 'A.', ''], dtype=object)
array(['Mylonas', 'G. P.', ''], dtype=object)] |
19,607 | 1107.0772 | Christian Griset | Christian Griset, Shane Head, Jason Alicea, Oleg A. Starykh | Deformed triangular lattice antiferromagnets in a magnetic field: role
of spatial anisotropy and Dzyaloshinskii-Moriya interactions | 22 pages, 16 figures; Submission errors corrected | Phys. Rev. B 84, 245108 (2011) | 10.1103/PhysRevB.84.245108 | null | cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent experiments on the anisotropic spin-1/2 triangular antiferromagnet
Cs_2CuBr_4 have revealed a remarkably rich phase diagram in applied magnetic
fields, consisting of an unexpectedly large number of ordered phases. Motivated
by this finding, we study the role of spatial anisotropy, Dzyaloshinskii-Moriya
interactions, and quantum fluctuations on the magnetization process of a
triangular antiferromagnet, coming from the semiclassical limit. The richness
of the problem stems from two key facts: 1) the classical isotropic model
exhibits a large accidental ground state degeneracy, and 2) these three
ingredients compete with one another and split this degeneracy in opposing
ways. Using a variety of complementary approaches, including extensive Monte
Carlo numerics, spin-wave theory, and an analysis of Bose-Einstein condensation
of magnons at high fields, we find that their interplay gives rise to a complex
phase diagram consisting of numerous incommensurate and commensurate phases.
Our results shed light on the observed phase diagram for Cs_2CuBr_4 and suggest
a number of future theoretical and experimental directions that will be useful
for obtaining a complete understanding of this material's interesting
phenomenology.
| [{'version': 'v1', 'created': 'Tue, 5 Jul 2011 03:08:31 GMT'}
{'version': 'v2', 'created': 'Tue, 4 Oct 2011 22:28:39 GMT'}
{'version': 'v3', 'created': 'Fri, 7 Oct 2011 05:06:47 GMT'}
{'version': 'v4', 'created': 'Mon, 10 Oct 2011 18:35:22 GMT'}] | 2012-01-04 | [array(['Griset', 'Christian', ''], dtype=object)
array(['Head', 'Shane', ''], dtype=object)
array(['Alicea', 'Jason', ''], dtype=object)
array(['Starykh', 'Oleg A.', ''], dtype=object)] |
19,608 | 1404.4823 | Mohamad Abbas | M. A. Abbas, E. K. Grebel, N. F. Martin, W. S. Burgett, H. Flewelling,
and R. J. Wainscoat | Newly Discovered RR Lyrae Stars in the SDSSXPanXSTARRS1XCatalina
Footprint | 14 pages, 11 figures. Accepted 2014 March 30. Received 2014 March 12;
in original form 2013 November 28 | null | 10.1093/mnras/stu633 | null | astro-ph.GA | http://creativecommons.org/licenses/by/3.0/ | We present the detection of 6,371 RR Lyrae (RRL) stars distributed across
~14,000 deg^2 of the sky from the combined data of the Sloan Digital Sky Survey
(SDSS), the Panoramic Survey Telescope and Rapid Response System 1 (PS1), and
the second photometric catalogue from the Catalina Survey (CSDR2), out of
these, ~2,021 RRL stars (~572 RRab and 1,449 RRc) are new discoveries. The RRL
stars have heliocentric distances in the 4--28 kpc distance range. RRL-like
color cuts from the SDSS and variability cuts from the PS1 are used to cull our
candidate list. We then use the CSDR2 multi-epoch data to refine our sample.
Periods were measured using the Analysis of Variance technique while the
classification process is performed with the Template Fitting Method in
addition to the visual inspection of the light curves. A cross-match of our RRL
star discoveries with previous published catalogs of RRL stars yield
completeness levels of ~50% for both RRab and RRc stars, and an efficiency of
~99% and ~87% for RRab and RRc stars, respectively. We show that our method for
selecting RRL stars allows us to recover halo structures. The full lists of all
the RRL stars are made publicly available.
| [{'version': 'v1', 'created': 'Thu, 17 Apr 2014 17:48:57 GMT'}] | 2015-06-19 | [array(['Abbas', 'M. A.', ''], dtype=object)
array(['Grebel', 'E. K.', ''], dtype=object)
array(['Martin', 'N. F.', ''], dtype=object)
array(['Burgett', 'W. S.', ''], dtype=object)
array(['Flewelling', 'H.', ''], dtype=object)
array(['Wainscoat', 'R. J.', ''], dtype=object)] |
19,609 | 2303.16809 | Novak Bo\v{s}kov | Novak Bo\v{s}kov,\c{S}evval \c{S}im\c{s}ek, Ari Trachtenberg, David
Starobinski | SREP: Out-Of-Band Sync of Transaction Pools for Large-Scale Blockchains | null | null | null | null | cs.DC | http://creativecommons.org/licenses/by/4.0/ | Synchronization of transaction pools (mempools) has shown potential for
improving the performance and block propagation delay of state-of-the-art
blockchains. Indeed, various heuristics have been proposed in the literature to
this end, all of which incorporate exchanges of unconfirmed transactions into
their block propagation protocol. In this work, we take a different approach,
maintaining transaction synchronization outside (and independently) of the
block propagation channel. In the process, we formalize the synchronization
problem within a graph theoretic framework and introduce a novel algorithm
(SREP - Set Reconciliation-Enhanced Propagation) with quantifiable guarantees.
We analyze the algorithm's performance for various realistic network
topologies, and show that it converges on any connected graph in a number of
steps that is bounded by the diameter of the graph. We confirm our analytical
findings through extensive simulations that include comparison with
MempoolSync, a recent approach from the literature. Our simulations show that
SREP incurs reasonable overall bandwidth overhead and, unlike MempoolSync,
scales gracefully with the size of the network.
| [{'version': 'v1', 'created': 'Wed, 29 Mar 2023 15:53:41 GMT'}] | 2023-03-30 | [array(['Boškov', 'Novak', ''], dtype=object)
array(['Şimşek', 'Şevval', ''], dtype=object)
array(['Trachtenberg', 'Ari', ''], dtype=object)
array(['Starobinski', 'David', ''], dtype=object)] |
19,610 | math/0703445 | Letterio Gatto | Letterio Gatto, Taise Santiago | Equivariant Schubert Calculus | 15 pages, no figures, part of the doctoral thesis of the second
author | null | null | null | math.AG | null | Let $T$ be a torus acting on $\CC^n$ in such a way that, for all $1\leq k\leq
n$, the induced action on the grassmannian $G(k,n)$ has only isolated fixed
points. This paper proposes a natural, elementary, explicit description of the
corresponding $T$-equivariant Schubert calculus. In a suitable natural basis of
the $T$-equivariant cohomology, seen as a module over the $T$-equivariant
cohomology of a point, it is formally the same as the ordinary cohomology of a
grassmann bundle. The main result, useful for computational purposes, is that
the $T$-equivariant cohomology of $G(k,n)$ can be realized as the quotient of a
ring generated by derivations on the exterior algebra of a free module of rank
$n$ over the $T$-equivariant cohomology of a point.
| [{'version': 'v1', 'created': 'Thu, 15 Mar 2007 07:08:47 GMT'}] | 2007-05-23 | [array(['Gatto', 'Letterio', ''], dtype=object)
array(['Santiago', 'Taise', ''], dtype=object)] |
19,611 | 0801.4131 | Eran Bouchbinder | Eran Bouchbinder | Effective Temperature Dynamics in an Athermal Amorphous Plasticity
Theory | 10 pages, 4 figures; new experimental ref., additional discussions | Phys. Rev. E 77, 051505 (2008) | 10.1103/PhysRevE.77.051505 | null | cond-mat.mtrl-sci cond-mat.stat-mech | null | Recent developments in the theory of amorphous plasticity point to the
central role played by the concept of an effective disorder temperature
$T_{eff}$. An athermal dynamics for $T_{eff}$ are proposed in the framework of
a deformation theory and discussed in light of the recent steady state
simulations by Haxton and Liu [Phys. Rev. Lett. {\bf 99}, 195701 (2007)]. The
structure of the resulting theory, its parameters and transient dynamics are
discussed and compared to available data.
| [{'version': 'v1', 'created': 'Sun, 27 Jan 2008 13:55:52 GMT'}
{'version': 'v2', 'created': 'Wed, 7 May 2008 15:16:21 GMT'}] | 2009-11-13 | [array(['Bouchbinder', 'Eran', ''], dtype=object)] |
19,612 | 1306.2507 | Tiago Peixoto | Tiago P. Peixoto | Eigenvalue Spectra of Modular Networks | 5 pages, 5 figures + Supplemental Material; Minor text improvements,
updated references and publication information | Phys. Rev. Lett. 111, 098701 (2013) | 10.1103/PhysRevLett.111.098701 | null | physics.data-an cond-mat.dis-nn physics.soc-ph | http://creativecommons.org/licenses/by/3.0/ | A large variety of dynamical processes that take place on networks can be
expressed in terms of the spectral properties of some linear operator which
reflects how the dynamical rules depend on the network topology. Often such
spectral features are theoretically obtained by considering only local node
properties, such as degree distributions. Many networks, however, possess
large-scale modular structures that can drastically influence their spectral
characteristics, and which are neglected in such simplified descriptions. Here
we obtain in a unified fashion the spectrum of a large family of operators,
including the adjacency, Laplacian and normalized Laplacian matrices, for
networks with generic modular structure, in the limit of large degrees. We
focus on the conditions necessary for the merging of the isolated eigenvalues
with the continuous band of the spectrum, after which the planted modular
structure can no longer be easily detected by spectral methods. This is a
crucial transition point which determines when a modular structure is strong
enough to affect a given dynamical process. We show that this transition
happens in general at different points for the different matrices, and hence
the detectability threshold can vary significantly depending on the operator
chosen. Equivalently, the sensitivity to the modular structure of the different
dynamical processes associated with each matrix will be different, given the
same large-scale structure present in the network. Furthermore, we show that,
with the exception of the Laplacian matrix, the different transitions coalesce
into the same point for the special case where the modules are homogeneous, but
separate otherwise.
| [{'version': 'v1', 'created': 'Tue, 11 Jun 2013 12:42:05 GMT'}
{'version': 'v2', 'created': 'Tue, 27 Aug 2013 10:40:31 GMT'}] | 2013-08-28 | [array(['Peixoto', 'Tiago P.', ''], dtype=object)] |
19,613 | cond-mat/0602288 | Mark Dykman | M. Marthaler and M. I. Dykman | Switching via quantum activation: A parametrically modulated oscillator | 15 pages, 10 figures, typos corrected | Phys. Rev. A 73, 042108 (2006) | 10.1103/PhysRevA.73.042108 | null | cond-mat.stat-mech cond-mat.mes-hall quant-ph | null | We study switching between period-two states of an underdamped quantum
oscillator modulated at nearly twice its natural frequency. For all
temperatures and parameter values switching occurs via quantum activation: it
is determined by diffusion over oscillator quasienergy, provided the relaxation
rate exceeds the rate of interstate tunneling. The diffusion has quantum origin
and accompanies relaxation to the stable state. We find the semiclassical
distribution over quasienergy. For T=0, where the system has detailed balance,
this distribution differs from the distribution for $T\to 0$; the T=0
distribution is also destroyed by small dephasing of the oscillator. The
characteristic quantum activation energy of switching displays a typical
dependence on temperature and scaling behavior near the bifurcation point where
period doubling occurs.
| [{'version': 'v1', 'created': 'Sun, 12 Feb 2006 16:50:06 GMT'}
{'version': 'v2', 'created': 'Fri, 27 Jul 2007 17:00:54 GMT'}] | 2009-11-11 | [array(['Marthaler', 'M.', ''], dtype=object)
array(['Dykman', 'M. I.', ''], dtype=object)] |
19,614 | 1204.0312 | William Hoover | Wm. G. Hoover | Another Hamiltonian "Thermostat" - Comments on arXiv Contributions
1203.5968, 1204.4412, 1205.3478, and 1206.0188 | Eight pages with two figures with up-to-date references | null | null | null | cond-mat.stat-mech nlin.CD physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Campisi, Zhan, Talkner, and Haenggi state, in promoting a new logarithmic
computational thermostat [ arXiv 1203.5968 and 1204.4412 ], that (thermostated)
Nose-Hoover mechanics is not Hamiltonian. First I point out that Dettmann
clearly showed the Hamiltonian nature of Nose-Hoover mechanics. The
trajectories {q(t)} generated by Dettmann's Hamiltonian are identical to those
generated by Nose-Hoover mechanics. I also observe that when the (Hamiltonian)
Campisi thermostat is applied to "nonequilibrium" heat transfer problems some
very interesting, and somewhat paradoxical, phase portraits can result. See too
Marc Mel\'endez' nice arXiv 1205.3478 and our joint work 1206.0188 .
| [{'version': 'v1', 'created': 'Mon, 2 Apr 2012 05:12:15 GMT'}
{'version': 'v2', 'created': 'Fri, 6 Apr 2012 00:53:34 GMT'}
{'version': 'v3', 'created': 'Tue, 1 May 2012 04:47:29 GMT'}
{'version': 'v4', 'created': 'Wed, 23 May 2012 19:50:44 GMT'}
{'version': 'v5', 'created': 'Sat, 16 Jun 2012 23:29:26 GMT'}] | 2012-06-19 | [array(['Hoover', 'Wm. G.', ''], dtype=object)] |
19,615 | 2012.00911 | Shuxiong Zhang | Shuxiong Zhang | Lower deviation probabilities for level sets of the branching random
walk | 19 pages, 0 figure | null | null | null | math.PR | http://creativecommons.org/licenses/by/4.0/ | Given a branching random walk$\{Z_n\}_{n\geq0}$ on $\mathbb{R}$, let
$Z_n([y,\infty))$ be the number of particles located in $[y,\infty)$ at
generation $n$. It is known from \cite{Biggins1977} that under some mild
conditions, $n^{-1}\log Z_n([\theta x^* n,\infty))$ converges a.s. to $\log
m-I(\theta x^*)$, where $\log m-I(\theta x^*)$ is a positive constant. In this
work, we investigate its lower deviation, in other words, the convergence rates
of $$\mathbb{P}\left(Z_n([\theta x^* n,\infty))<e^{an}\right),$$ where
$a\in[0,\log m-I(\theta x^*))$. Our results complete those in \cite{Mehmet},
\cite{Helower} and \cite{GWlower}.
| [{'version': 'v1', 'created': 'Wed, 2 Dec 2020 00:58:14 GMT'}] | 2020-12-03 | [array(['Zhang', 'Shuxiong', ''], dtype=object)] |
19,616 | 2108.08483 | A K M Nuhil Mehdy | A K M Nuhil Mehdy, Hoda Mehrpouyan | A Multi-input Multi-output Transformer-based Hybrid Neural Network for
Multi-class Privacy Disclosure Detection | 20 pages | 2nd International Conference on Machine Learning Techniques and
NLP (MLNLP 2021), September 18 - 19, 2021, Copenhagen, Denmark | null | null | cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concern regarding users' data privacy has risen to its highest level due
to the massive increase in communication platforms, social networking sites,
and greater users' participation in online public discourse. An increasing
number of people exchange private information via emails, text messages, and
social media without being aware of the risks and implications. Researchers in
the field of Natural Language Processing (NLP) have concentrated on creating
tools and strategies to identify, categorize, and sanitize private information
in text data since a substantial amount of data is exchanged in textual form.
However, most of the detection methods solely rely on the existence of
pre-identified keywords in the text and disregard the inference of the
underlying meaning of the utterance in a specific context. Hence, in some
situations, these tools and algorithms fail to detect disclosure, or the
produced results are miss-classified. In this paper, we propose a multi-input,
multi-output hybrid neural network which utilizes transfer-learning,
linguistics, and metadata to learn the hidden patterns. Our goal is to better
classify disclosure/non-disclosure content in terms of the context of
situation. We trained and evaluated our model on a human-annotated ground truth
dataset, containing a total of 5,400 tweets. The results show that the proposed
model was able to identify privacy disclosure through tweets with an accuracy
of 77.4% while classifying the information type of those tweets with an
impressive accuracy of 99%, by jointly learning for two separate tasks.
| [{'version': 'v1', 'created': 'Thu, 19 Aug 2021 03:58:49 GMT'}
{'version': 'v2', 'created': 'Fri, 20 Aug 2021 18:09:22 GMT'}] | 2021-08-24 | [array(['Mehdy', 'A K M Nuhil', ''], dtype=object)
array(['Mehrpouyan', 'Hoda', ''], dtype=object)] |
19,617 | 1706.01173 | Yun Soo Myung | Yun Soo Myung | Renormalizability, vDVZ discontinuity and Newtonian singularity in
higher-derivative gravity | 15 pages, no figures,version to appear in PRD | Phys. Rev. D 96, 064026 (2017) | 10.1103/PhysRevD.96.064026 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was proposed that if a higher-derivative gravity is renormalizable, it
implies necessarily a finite Newtonian potential at the origin, but the reverse
of this statement is not true. Here we show that the reverse is true when
taking into account the vDVZ discontinuity which states that the theory
obtained from massive one by taking zero mass limit is not equivalent to the
theory obtained in the zero mass case. The surviving degree of freedom in the
zero mass limit is an extra scalar which does not affect the light bending
angle, but affects the Newtonian potential. This asserts that in order to make
the singularity cancellation, the number of massive ghost and healthy tensors
matches with that of massive ghost and healthy scalars.
| [{'version': 'v1', 'created': 'Mon, 5 Jun 2017 01:18:02 GMT'}
{'version': 'v2', 'created': 'Fri, 1 Sep 2017 03:16:26 GMT'}] | 2017-09-20 | [array(['Myung', 'Yun Soo', ''], dtype=object)] |
19,618 | 2305.04552 | Shintaro Akamine | Shintaro Akamine | Isometric and anti-isometric classes of timelike minimal surfaces in
Lorentz-Minkowski space | 18 pages, 3 figures | null | null | null | math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Isometric class of minimal surfaces in the Euclidean 3-space $\mathbb{R}^3$
has the rigidity: if two simply connected minimal surfaces are isometric, then
one of them is congruent to a surface in the specific one-parameter family,
called the associated family, of the other. On the other hand, the situation
for surfaces with Lorentzian metrics is different. In this paper, we show that
there exist two timelike minimal surfaces in the Lorentz-Minkowski 3-space
$\mathbb{R}^3_1$ that are isometric each other but one of which does not belong
to the congruent class of the associated family of the other. We also prove a
rigidity theorem for isometric and anti-isometric classes of timelike minimal
surfaces under the assumption that surfaces have no flat points. Moreover, we
show how symmetries of such surfaces propagate for various deformations
including isometric and anti-isometric deformations. In particular, some
conservation laws of symmetry for Goursat transformations are discussed.
| [{'version': 'v1', 'created': 'Mon, 8 May 2023 08:47:17 GMT'}] | 2023-05-09 | [array(['Akamine', 'Shintaro', ''], dtype=object)] |
19,619 | 1408.6878 | Peter Biro Dr. | Peter Biro and Iain McBride | Integer programming methods for special college admissions problems | null | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop Integer Programming (IP) solutions for some special college
admission problems arising from the Hungarian higher education admission
scheme. We focus on four special features, namely the solution concept of
stable score-limits, the presence of lower and common quotas, and paired
applications. We note that each of the latter three special feature makes the
college admissions problem NP-hard to solve. Currently, a heuristic based on
the Gale-Shapley algorithm is being used in the application. The IP methods
that we propose are not only interesting theoretically, but may also serve as
an alternative solution concept for this practical application, and also for
other ones.
| [{'version': 'v1', 'created': 'Thu, 28 Aug 2014 22:56:48 GMT'}
{'version': 'v2', 'created': 'Wed, 3 Sep 2014 21:14:07 GMT'}] | 2014-09-05 | [array(['Biro', 'Peter', ''], dtype=object)
array(['McBride', 'Iain', ''], dtype=object)] |
19,620 | 1704.06522 | Giordano Mattoni | Giordano Mattoni, David J. Baek, Nicola Manca, Nils Verhagen, Lena F.
Kourkoutis, Alessio Filippetti, Andrea D. Caviglia | Enhancement of electron mobility at oxide interfaces induced by WO3
overlayers | null | ACS Applied Materials & Interfaces (2017) | 10.1021/acsami.7b13202 | null | cond-mat.str-el cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Interfaces between complex oxides constitute a unique playground for 2D
electron systems (2DES), where superconductivity and magnetism can arise from
combinations of bulk insulators. The 2DES at the LaAlO3/SrTiO3 interface is one
of the most studied in this regard, and its origin is determined by both the
presence of a polar field in LaAlO3 and the insurgence of point defects, such
as oxygen vacancies and intermixed cations. These defects usually reside in the
conduction channel and are responsible for a decreased electronic mobility. In
this work we use an amorphous WO3 overlayer to control the defect formation and
obtain an increased electron mobility and effective mass in WO3/LaAlO3/SrTiO3
heterostructures. The studied system shows a sharp insulator-to-metal
transition as a function of both LaAlO3 and WO3 layer thickness.
Low-temperature magnetotransport reveals a strong magnetoresistance reaching
900% at 10 T and 1.5 K, the presence of multiple conduction channels with
carrier mobility up to 80 000 cm2/Vs and an unusually high effective mass of
5.6 me. The amorphous character of the WO3 overlayer makes this a versatile
approach for defect control at oxide interfaces, which could be applied to
other heterestrostures disregarding the constraints imposed by crystal
symmetry.
| [{'version': 'v1', 'created': 'Fri, 21 Apr 2017 13:11:42 GMT'}] | 2017-11-23 | [array(['Mattoni', 'Giordano', ''], dtype=object)
array(['Baek', 'David J.', ''], dtype=object)
array(['Manca', 'Nicola', ''], dtype=object)
array(['Verhagen', 'Nils', ''], dtype=object)
array(['Kourkoutis', 'Lena F.', ''], dtype=object)
array(['Filippetti', 'Alessio', ''], dtype=object)
array(['Caviglia', 'Andrea D.', ''], dtype=object)] |
19,621 | 1506.00508 | Mikko Kivel\"a | Mikko Kivel\"a, Mason A. Porter | Isomorphisms in Multilayer Networks | Working paper; 18 pages, 7 figures | null | null | null | physics.soc-ph cs.DM cs.SI math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the concept of graph isomorphisms to multilayer networks with any
number of "aspects" (i.e., types of layering). In developing this
generalization, we identify multiple types of isomorphisms. For example, in
multilayer networks with a single aspect, permuting vertex labels, layer
labels, and both vertex labels and layer labels each yield different
isomorphism relations between multilayer networks. Multilayer network
isomorphisms lead naturally to defining isomorphisms in any of the numerous
types of networks that can be represented as a multilayer network, and we
thereby obtain isomorphisms for multiplex networks, temporal networks, networks
with both of these features, and more. We reduce each of the multilayer network
isomorphism problems to a graph isomorphism problem, where the size of the
graph isomorphism problem grows linearly with the size of the multilayer
network isomorphism problem. One can thus use software that has been developed
to solve graph isomorphism problems as a practical means for solving multilayer
network isomorphism problems. Our theory lays a foundation for extending many
network analysis methods --- including motifs, graphlets, structural roles, and
network alignment --- to any multilayer network.
| [{'version': 'v1', 'created': 'Mon, 1 Jun 2015 14:28:03 GMT'}
{'version': 'v2', 'created': 'Tue, 1 Sep 2015 16:19:54 GMT'}
{'version': 'v3', 'created': 'Thu, 16 Feb 2017 10:13:54 GMT'}] | 2017-02-17 | [array(['Kivelä', 'Mikko', ''], dtype=object)
array(['Porter', 'Mason A.', ''], dtype=object)] |
19,622 | 2301.13493 | Moha Ouali | M. Agouri, A. Waqdim, A. Abbassi, M. Ouali, S. Taj, B. Manaut, M.
Driouich | Enhancement in physical properties of Pb-Based Perovskite Oxides
($PbGeO_{3}$): Ab initio Calculation | 17 pages, 9 figures | null | null | null | cond-mat.mtrl-sci | http://creativecommons.org/licenses/by/4.0/ | In the present paper, the electronic, structural, thermodynamic, and elastic
properties of cubic $PbGeO_{3}$ perovskite oxide are presented and computed
using the WIEN2K code. The structural properties have been evaluated and they
are in good agreement with the theoretical and experimental data. A phonon
dispersion is made and it reveals that the cubic $PbGeO_{3}$ perovskite is
dynamically stable. In addition, the electronic properties of $PbGeO_{3}$ shows
an opening gap energy, meaning a semiconductor behavior with an indirect band
gap equal to $1.67 eV$. Moreover, the obtained elastic constants of cubic
$PbGeO_{3}$ satisfy Born's mechanical stability criteria, and this indicates
that our compound behaves as a stable ductile material. The
temperature-pressure effects on thermodynamic parameters are investigated using
the Gibbs$2$ package. Finally, based on the obtained results about the cubic
$PbGeO_{3}$ perovskite properties, we assume that this compound will have
potential applications.
| [{'version': 'v1', 'created': 'Tue, 31 Jan 2023 09:18:50 GMT'}] | 2023-02-01 | [array(['Agouri', 'M.', ''], dtype=object)
array(['Waqdim', 'A.', ''], dtype=object)
array(['Abbassi', 'A.', ''], dtype=object)
array(['Ouali', 'M.', ''], dtype=object)
array(['Taj', 'S.', ''], dtype=object)
array(['Manaut', 'B.', ''], dtype=object)
array(['Driouich', 'M.', ''], dtype=object)] |
19,623 | 1904.05271 | Zhexiong Shang | Zhexiong Shang, Zhigang Shen | Indoor Testing and Simulation Platform for Close-distance Visual
Inspection of Complex Structures using Micro Quadrotor UAV | 6 pages, 6 figures, accepted in ICCCBE 2018 | null | null | null | cs.RO cs.SY | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In recent years, using drone, also known as unmanned aerial vehicle (UAV), in
close-distance visual inspection has became an active area in many disciplines.
However, many challenges still remain before we can achieve autonomous
inspection, especially when inspecting complex structures. The complex civil
structures, such as bridges, dams and wind turbines, are large-scale and
geometrical complicated. It requires sophisticated path planning algorithms to
achieve close-distance inspection and, at the same time, avoid collisions. In
practice, directly deploying the path planning result on such structures is
error prone, costly, and full of hazards. In this paper, rely on micro
quadrotor UAV, the authors present an affordable experimental platform for
testing drone-based path planning result. The platform allows the users to
conduct many path planning experiments at any time without worrying expensive
and time consuming outdoor test flying. This platform is developed based on the
bundle of Crazyflie, which includes Crazyflie 2.0 quadrotor, Crazyradio and
loco positioning system (LPS). Equipped with an onboard micro FPV camera, the
visual data can be lively streamed to the host computer during flight. The
functions of manual configuration and waypoints control are explicitly designed
in this platform to increase its flexibility and performance on path following
and debugging. To evaluate the practicability of the proposed test platform,
two existing drone-based path planning algorithms are tested. The results show
that even though certain level of error existed, the quality of visual data and
accuracy of path following are high enough for simulating most practical
inspection applications.
| [{'version': 'v1', 'created': 'Wed, 10 Apr 2019 16:16:50 GMT'}] | 2019-04-11 | [array(['Shang', 'Zhexiong', ''], dtype=object)
array(['Shen', 'Zhigang', ''], dtype=object)] |
19,624 | 2010.02399 | Ameet Deshpande | Ameet Deshpande, Karthik Narasimhan | Guiding Attention for Self-Supervised Learning with Transformers | Accepted to Findings of EMNLP, 2020 | null | null | null | cs.CL | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we propose a simple and effective technique to allow for
efficient self-supervised learning with bi-directional Transformers. Our
approach is motivated by recent studies demonstrating that self-attention
patterns in trained models contain a majority of non-linguistic regularities.
We propose a computationally efficient auxiliary loss function to guide
attention heads to conform to such patterns. Our method is agnostic to the
actual pre-training objective and results in faster convergence of models as
well as better performance on downstream tasks compared to the baselines,
achieving state of the art results in low-resource settings. Surprisingly, we
also find that linguistic properties of attention heads are not necessarily
correlated with language modeling performance.
| [{'version': 'v1', 'created': 'Tue, 6 Oct 2020 00:04:08 GMT'}] | 2020-10-07 | [array(['Deshpande', 'Ameet', ''], dtype=object)
array(['Narasimhan', 'Karthik', ''], dtype=object)] |
19,625 | 1602.00418 | Tovondrainy Christalin Razafindramahatsiaro | Tovondrainy Christalin Razafindramahatsiaro | Lifting Problem on Automorphism Groups of Cyclic Curves | null | null | null | null | math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let X be a smooth projective hyperelliptic curve over an algeraically closed
field k of prime characteristic p. The aim of this note is to find necessary
and sufficient conditions on the automorphism group of the curve X to be lifted
to characteristic zero. The results will be generalised for a certain family of
curves that we call cyclic curves.
| [{'version': 'v1', 'created': 'Mon, 1 Feb 2016 08:03:24 GMT'}] | 2016-02-02 | [array(['Razafindramahatsiaro', 'Tovondrainy Christalin', ''], dtype=object)] |
19,626 | cond-mat/9809196 | Tamas Vicsek | Imre Derenyi and Tamas Vicsek | The kinesin walk: a dynamic model with elastically coupled heads | 6 pages, 3 figures | Proc. Natl. Acad. Sci. USA, 93, 6775 (1996) | 10.1073/pnas.93.13.6775 | null | cond-mat.stat-mech q-bio | null | Recently individual two-headed kinesin molecules have been studied in in
vitro motility assays revealing a number of their peculiar transport
properties. In this paper we propose a simple and robust model for the kinesin
stepping process with elastically coupled Brownian heads showing all of these
properties. The analytic and numerical treatment of our model results in a very
good fit to the experimental data and practically has no free parameters.
Changing the values of the parameters in the restricted range allowed by the
related experimental estimates has almost no effect on the shape of the curves
and results mainly in a variation of the zero load velocity which can be
directly fitted to the measured data. In addition, the model is consistent with
the measured pathway of the kinesin ATPase.
| [{'version': 'v1', 'created': 'Mon, 14 Sep 1998 13:42:36 GMT'}] | 2009-10-31 | [array(['Derenyi', 'Imre', ''], dtype=object)
array(['Vicsek', 'Tamas', ''], dtype=object)] |
19,627 | 1705.04358 | Syed Ashar Javed | Syed Ashar Javed and Anil Kumar Nelakanti | Object-Level Context Modeling For Scene Classification with Context-CNN | Scene Understanding workshop (SUNw), CVPR 2017 | null | null | null | cs.CV | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Convolutional Neural Networks (CNNs) have been used extensively for computer
vision tasks and produce rich feature representation for objects or parts of an
image. But reasoning about scenes requires integration between the low-level
feature representations and the high-level semantic information. We propose a
deep network architecture which models the semantic context of scenes by
capturing object-level information. We use Long Short Term Memory(LSTM) units
in conjunction with object proposals to incorporate object-object relationship
and object-scene relationship in an end-to-end trainable manner. We evaluate
our model on the LSUN dataset and achieve results comparable to the
state-of-art. We further show visualization of the learned features and analyze
the model with experiments to verify our model's ability to model context.
| [{'version': 'v1', 'created': 'Thu, 11 May 2017 19:25:37 GMT'}
{'version': 'v2', 'created': 'Fri, 2 Jun 2017 05:29:20 GMT'}] | 2017-06-05 | [array(['Javed', 'Syed Ashar', ''], dtype=object)
array(['Nelakanti', 'Anil Kumar', ''], dtype=object)] |
19,628 | 2012.01955 | Gustavo Marfia | Lorenzo Stacchio, Alessia Angeli, Giuseppe Lisanti, Daniela Calanca,
Gustavo Marfia | IMAGO: A family photo album dataset for a socio-historical analysis of
the twentieth century | null | null | 10.1145/3507918 | null | cs.CV cs.CY cs.MM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Although one of the most popular practices in photography since the end of
the 19th century, an increase in scholarly interest in family photo albums
dates back to the early 1980s. Such collections of photos may reveal
sociological and historical insights regarding specific cultures and times.
They are, however, in most cases scattered among private homes and only
available on paper or photographic film, thus making their analysis by
academics such as historians, social-cultural anthropologists and cultural
theorists very cumbersome. In this paper, we analyze the IMAGO dataset
including photos belonging to family albums assembled at the University of
Bologna's Rimini campus since 2004. Following a deep learning-based approach,
the IMAGO dataset has offered the opportunity of experimenting with photos
taken between year 1845 and year 2009, with the goals of assessing the dates
and the socio-historical contexts of the images, without use of any other
sources of information. Exceeding our initial expectations, such analysis has
revealed its merit not only in terms of the performance of the approach adopted
in this work, but also in terms of the foreseeable implications and use for the
benefit of socio-historical research. To the best of our knowledge, this is the
first work that moves along this path in literature.
| [{'version': 'v1', 'created': 'Thu, 3 Dec 2020 14:28:58 GMT'}] | 2023-06-14 | [array(['Stacchio', 'Lorenzo', ''], dtype=object)
array(['Angeli', 'Alessia', ''], dtype=object)
array(['Lisanti', 'Giuseppe', ''], dtype=object)
array(['Calanca', 'Daniela', ''], dtype=object)
array(['Marfia', 'Gustavo', ''], dtype=object)] |
19,629 | cond-mat/9804097 | User Prokofev Nikolai V. Prokof'ev | Nikolai V. Prokof'ev and Boris V. Svistunov | Polaron Problem by Diagrammatic Quantum Monte Carlo | Latex, 4 pages, 5 figures | Phys. Rev. Lett. 81, p. 2514 (1998). | 10.1103/PhysRevLett.81.2514 | TOISFFT-980405 | cond-mat | null | We present a precise solution of the polaron problem by a novel Monte Carlo
method. Basing on conventional diagrammatic expansion for the Green function of
the polaron, $G({\bf k}, \tau)$, we construct a process of generating
continuous random variables ${\bf k}$ and $\tau$, with the distribution
function exactly coinciding with $G({\bf k}, \tau)$. The polaron spectrum is
extracted from the asymptotic behavior of the Green function. We compare our
results for the polaron energy with the variational treatment of Feynman, and
for the first time present precise dispersion curve which features an ending
point at finite momentum.
| [{'version': 'v1', 'created': 'Wed, 8 Apr 1998 13:00:57 GMT'}] | 2009-10-31 | [array(["Prokof'ev", 'Nikolai V.', ''], dtype=object)
array(['Svistunov', 'Boris V.', ''], dtype=object)] |
19,630 | math/0410044 | Stephanie van Willigenburg | Stephanie van Willigenburg | Equality of Schur and skew Schur functions | 9 pages, final version | Ann. Comb. 9:355--362 (2005) | null | null | math.CO | null | We determine the precise conditions under which any skew Schur function is
equal to a Schur function over both infinitely and finitely many variables.
| [{'version': 'v1', 'created': 'Mon, 4 Oct 2004 00:09:02 GMT'}
{'version': 'v2', 'created': 'Fri, 22 Jun 2007 02:31:14 GMT'}] | 2007-06-22 | [array(['van Willigenburg', 'Stephanie', ''], dtype=object)] |
19,631 | 2109.01490 | Thomas Kropfreiter | Thomas Kropfreiter, Jason L. Williams, Florian Meyer | A Scalable Track-Before-Detect Method With Poisson/Multi-Bernoulli Model | published at FUSION conference 2021 | null | null | null | eess.SP | http://creativecommons.org/licenses/by/4.0/ | We propose a scalable track-before-detect (TBD) tracking method based on a
Poisson/multi-Bernoulli model. To limit computational complexity, we
approximate the exact multi-Bernoulli mixture posterior probability density
function (pdf) by a multi-Bernoulli pdf. Data association based on the
sum-product algorithm and recycling of Bernoulli components enable the
detection and tracking of low-observable objects with limited computational
resources. Our simulation results demonstrate a significantly improved tracking
performance compared to a state-of-the-art TBD method.
| [{'version': 'v1', 'created': 'Fri, 3 Sep 2021 13:06:46 GMT'}] | 2021-09-06 | [array(['Kropfreiter', 'Thomas', ''], dtype=object)
array(['Williams', 'Jason L.', ''], dtype=object)
array(['Meyer', 'Florian', ''], dtype=object)] |
19,632 | 2205.13195 | Devvrat Tiwari | Devvrat Tiwari and K. G. Paulson and Subhashish Banerjee | Quantum correlations and speed limit of central spin system | 10 pages, 13 figures | ANNALEN DER PHYSIK 2023, 535, 2200452 | 10.1002/andp.202200452 | null | quant-ph cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | In this article, we consider single, and two-qubit central spin systems
interacting with spin baths and discuss their dynamical properties. We consider
the cases of interacting and non-interacting spin baths and investigate the
quantum speed limit (QSL) time of evolution. The impact of the size of the spin
bath on the quantum speed limit for a single qubit central spin model is
analyzed. We estimate the quantum correlations for (non-)interacting two
central spin qubits and compare their dynamical behaviour with that of QSL time
under various conditions. We show how QSL time could be availed to analyze the
dynamics of quantum correlations.
| [{'version': 'v1', 'created': 'Thu, 26 May 2022 07:16:25 GMT'}
{'version': 'v2', 'created': 'Tue, 17 Jan 2023 11:33:37 GMT'}] | 2023-03-28 | [array(['Tiwari', 'Devvrat', ''], dtype=object)
array(['Paulson', 'K. G.', ''], dtype=object)
array(['Banerjee', 'Subhashish', ''], dtype=object)] |
19,633 | 2304.10732 | Shisong Li | Shisong Li, Yongchao Ma, Wei Zhao, Songling Huang, Xinjie Yu | Design of the Tsinghua Tabletop Kibble Balance | 8 pages, 9 figures | null | null | null | physics.ins-det | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Kibble balance is a precision instrument for realizing the mass unit, the
kilogram, in the new international system of units (SI). In recent years, an
important trend for Kibble balance experiments is to go tabletop, in which the
instrument's size is notably reduced while retaining a measurement accuracy of
$10^{-8}$. In this paper, we report a new design of a tabletop Kibble balance
to be built at Tsinghua University. The Tsinghua Kibble balance aims to deliver
a compact instrument for robust mass calibrations from 10 g to 1 kg with a
targeted measurement accuracy of 50 $\mu$g or less. Some major features of the
Tsinghua Kibble balance system, including the design of a new magnet, one-mode
measurement scheme, the spring-compensated magnet moving mechanism, and
magnetic shielding considerations, are discussed.
| [{'version': 'v1', 'created': 'Fri, 21 Apr 2023 04:04:51 GMT'}] | 2023-04-24 | [array(['Li', 'Shisong', ''], dtype=object)
array(['Ma', 'Yongchao', ''], dtype=object)
array(['Zhao', 'Wei', ''], dtype=object)
array(['Huang', 'Songling', ''], dtype=object)
array(['Yu', 'Xinjie', ''], dtype=object)] |
19,634 | 1805.01841 | Matthieu Jamet | C. Zucchetti, M.-T Dau, F. Bottegoni, C. Vergnaud, T. Guillet, A.
Marty, C. Beign\'e, S. Gambarelli, A. Picone, A. Calloni, G. Bussetti, A.
Brambilla, L. Du\`o, F. Ciccacci, P. K. Das, J. Fujii, I. Vobornik, M.
Finazzi and M. Jamet | Tuning spin-charge interconversion with quantum confinement in ultrathin
Bi/Ge(111) films | 18 pages, 5 figures | Phys. Rev. B 98, 184418 (2018) | 10.1103/PhysRevB.98.184418 | null | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spin-charge interconversion (SCI) phenomena have attracted a growing interest
in the field of spintronics as means to detect spin currents or manipulate the
magnetization of ferromagnets. The key ingredients to exploit these assets are
a large conversion efficiency, the scalability down to the nanometer scale and
the integrability with opto-electronic and spintronic devices. Here we show
that, when an ultrathin Bi film is epitaxially grown on top of a Ge(111)
substrate, quantum size effects arising in nanometric Bi islands drastically
boost the SCI efficiency, even at room temperature. Using x-ray diffraction
(XRD), scanning tunneling microscopy (STM) and spin- and angle-resolved
photoemission (S-ARPES) we obtain a clear picture of the film morphology,
crystallography and electronic structure. We then exploit the Rashba-Edelstein
effect (REE) and inverse Rashba-Edelstein effect (IREE) to directly quantify
the SCI efficiency using optical and electrical spin injection.
| [{'version': 'v1', 'created': 'Fri, 4 May 2018 16:29:21 GMT'}] | 2020-11-26 | [array(['Zucchetti', 'C.', ''], dtype=object)
array(['Dau', 'M. -T', ''], dtype=object)
array(['Bottegoni', 'F.', ''], dtype=object)
array(['Vergnaud', 'C.', ''], dtype=object)
array(['Guillet', 'T.', ''], dtype=object)
array(['Marty', 'A.', ''], dtype=object)
array(['Beigné', 'C.', ''], dtype=object)
array(['Gambarelli', 'S.', ''], dtype=object)
array(['Picone', 'A.', ''], dtype=object)
array(['Calloni', 'A.', ''], dtype=object)
array(['Bussetti', 'G.', ''], dtype=object)
array(['Brambilla', 'A.', ''], dtype=object)
array(['Duò', 'L.', ''], dtype=object)
array(['Ciccacci', 'F.', ''], dtype=object)
array(['Das', 'P. K.', ''], dtype=object)
array(['Fujii', 'J.', ''], dtype=object)
array(['Vobornik', 'I.', ''], dtype=object)
array(['Finazzi', 'M.', ''], dtype=object)
array(['Jamet', 'M.', ''], dtype=object)] |
19,635 | 1910.02075 | Laura Cabayol-Garc\'ia | Laura Cabayol-Garcia, Martin B. Eriksen, \`Alex Alarc\'on, Adam Amara,
Jorge Carretero, Ricard Casas, Francisco Javier Castander, Enrique
Fern\'andez, Juan Garc\'ia-Bellido, Enrique Gaztanaga, Henk Hoekstra, Ramon
Miquel, Christian Neissner, Cristobal Padilla, Eusebio S\'anchez, Santiago
Serrano, Ignacio Sevilla-Noarbe, Malgorzata Siudek, Pau Tallada, Luca
Tortorelli | The PAU Survey: Background light estimation with deep learning
techniques | 16 pages, 13 figures | null | 10.1093/mnras/stz3274 | null | astro-ph.IM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In any imaging survey, measuring accurately the astronomical background light
is crucial to obtain good photometry. This paper introduces BKGnet, a deep
neural network to predict the background and its associated error. BKGnet has
been developed for data from the Physics of the Accelerating Universe Survey
(PAUS), an imaging survey using a 40 narrow-band filter camera (PAUCam). Images
obtained with PAUCam are affected by scattered light: an optical effect
consisting of light multiply that deposits energy in specific detector regions
contaminating the science measurements. Fortunately, scattered light is not a
random effect, but it can be predicted and corrected for. We have found that
BKGnet background predictions are very robust to distorting effects, while
still being statistically accurate. On average, the use of BKGnet improves the
photometric flux measurements by 7% and up to 20% at the bright end. BKGnet
also removes a systematic trend in the background error estimation with
magnitude in the i-band that is present with the current PAU data management
method. With BKGnet, we reduce the photometric redshift outlier rate
| [{'version': 'v1', 'created': 'Fri, 4 Oct 2019 12:35:39 GMT'}
{'version': 'v2', 'created': 'Tue, 5 May 2020 17:06:27 GMT'}] | 2020-05-06 | [array(['Cabayol-Garcia', 'Laura', ''], dtype=object)
array(['Eriksen', 'Martin B.', ''], dtype=object)
array(['Alarcón', 'Àlex', ''], dtype=object)
array(['Amara', 'Adam', ''], dtype=object)
array(['Carretero', 'Jorge', ''], dtype=object)
array(['Casas', 'Ricard', ''], dtype=object)
array(['Castander', 'Francisco Javier', ''], dtype=object)
array(['Fernández', 'Enrique', ''], dtype=object)
array(['García-Bellido', 'Juan', ''], dtype=object)
array(['Gaztanaga', 'Enrique', ''], dtype=object)
array(['Hoekstra', 'Henk', ''], dtype=object)
array(['Miquel', 'Ramon', ''], dtype=object)
array(['Neissner', 'Christian', ''], dtype=object)
array(['Padilla', 'Cristobal', ''], dtype=object)
array(['Sánchez', 'Eusebio', ''], dtype=object)
array(['Serrano', 'Santiago', ''], dtype=object)
array(['Sevilla-Noarbe', 'Ignacio', ''], dtype=object)
array(['Siudek', 'Malgorzata', ''], dtype=object)
array(['Tallada', 'Pau', ''], dtype=object)
array(['Tortorelli', 'Luca', ''], dtype=object)] |
19,636 | 1907.12121 | Gwenael Giacinti | G. Giacinti, A. M. W. Mitchell, R. L\'opez-Coto, V. Joshi, R. D.
Parsons, J. A. Hinton | On the TeV Halo Fraction in gamma-ray bright Pulsar Wind Nebulae | 10 pages, 3 figures, 2 tables | A&A 636, A113 (2020) | 10.1051/0004-6361/201936505 | null | astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The discovery of extended TeV emission around the Geminga and PSR B0656+14
pulsars, with properties consistent with free particle propagation in the
interstellar medium (ISM), has sparked considerable discussion on the possible
presence of such halos in other systems. Here we make an assessment of the
current TeV source population associated with energetic pulsars, in terms of
size and estimated energy density. Based on two alternative estimators we
conclude that a large majority of the known TeV sources have emission
originating in the zone energetically and dynamically dominated by the pulsar
(i.e. the pulsar wind nebula), rather than from a halo of particles diffusing
in to the ISM. Furthermore, whilst the number of established halos will surely
increase in the future, we find that it is unlikely that such halos contribute
significantly to the total TeV $\gamma$-ray luminosity from electrons
accelerated in PWN.
| [{'version': 'v1', 'created': 'Sun, 28 Jul 2019 18:24:46 GMT'}] | 2020-04-29 | [array(['Giacinti', 'G.', ''], dtype=object)
array(['Mitchell', 'A. M. W.', ''], dtype=object)
array(['López-Coto', 'R.', ''], dtype=object)
array(['Joshi', 'V.', ''], dtype=object)
array(['Parsons', 'R. D.', ''], dtype=object)
array(['Hinton', 'J. A.', ''], dtype=object)] |
19,637 | 2101.09584 | Yuval Tamir | Diyu Zhou and Yuval Tamir | HyCoR: Fault-Tolerant Replicated Containers Based on Checkpoint and
Replay | null | null | null | null | cs.DC cs.OS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | HyCoR is a fully-operational fault tolerance mechanism for multiprocessor
workloads, based on container replication, using a hybrid of checkpointing and
replay. HyCoR derives from two insights regarding replication mechanisms: 1)
deterministic replay can overcome a key disadvantage of checkpointing alone --
unacceptably long delays of outputs to clients, and 2) checkpointing can
overcome a key disadvantage of active replication with deterministic replay
alone -- vulnerability to even rare replay failures due to an untracked
nondeterministic events. With HyCoR, the primary sends periodic checkpoints to
the backup and logs the outcomes of sources of nondeterminism. Outputs to
clients are delayed only by the short time it takes to send the corresponding
log to the backup. Upon primary failure, the backup replays only the short
interval since the last checkpoint, thus minimizing the window of
vulnerability. HyCoR includes a "best effort" mechanism that results in a high
recovery rate even in the presence of data races, as long as their rate is low.
The evaluation includes measurement of the recovery rate and recovery latency
based on fault injection. On average, HyCoR delays responses to clients by less
than 1ms and recovers in less than 1s. For a set of eight real-world
benchmarks, if data races are eliminated, the performance overhead of HyCoR is
under 59%.
| [{'version': 'v1', 'created': 'Sat, 23 Jan 2021 21:08:25 GMT'}] | 2021-01-26 | [array(['Zhou', 'Diyu', ''], dtype=object)
array(['Tamir', 'Yuval', ''], dtype=object)] |
19,638 | 2302.10858 | Friedemann Kemm | Friedemann Kemm | Why Majority Judgement is not yet the solution for political elections,
but can help finding it | null | null | null | null | cs.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Like many other voting systems, Majority Judgement suffers from the
weaknesses of the underlying mathematical model: Elections as problem of choice
or ranking. We show how the model can be enhanced to take into account the
complete process starting from the whole set of persons having passive
electoral rights and even the aspect of reelection. By a new view on
abstentions from voting and an adaption of Majority Judgement with three
grades, we are able to describe a complete process for an election that can be
easily put into legislation and sets suitable incentives for politicians who
want to be reelected.
| [{'version': 'v1', 'created': 'Tue, 21 Feb 2023 18:15:39 GMT'}
{'version': 'v2', 'created': 'Fri, 24 Mar 2023 10:20:02 GMT'}
{'version': 'v3', 'created': 'Thu, 6 Jul 2023 16:27:20 GMT'}] | 2023-07-07 | [array(['Kemm', 'Friedemann', ''], dtype=object)] |
19,639 | 1404.6177 | Zhengyuan Tu | Yingying Lu, Zhengyuan Tu and Lynden Archer | Stable Lithium Electrodeposition in Liquid and Nanoporous Solid
Electrolytes | null | null | 10.1038/nmat4041 | Nature Materials 13, (2014) 961--969 | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rechargeable lithium, sodium, and aluminum metal-based batteries are among
the most versatile platform for high-energy, cost effective electrochemical
energy storage. Non-uniform metal deposition and dendrite formation on the
negative electrode during repeated cycles of charge and discharge are major
hurdles to commercialization of energy storage devices based on each of these
chemistries. A long held view is that unstable electrodeposition is a
consequence of inherent characteristics of these metals and their inability to
form uniform electrodeposits on surfaces with inevitable defects. We report on
electrodeposition of lithium in simple liquid electrolytes and in nanoporous
solids infused with liquid electrolytes. We find that simple liquid
electrolytes reinforced with halogenated salt blends exhibit stable long-term
cycling at room temperature, often with no signs of deposition instabilities
over hundreds of cycles of charge and discharge and thousands of operating
hours. We rationalize these observations with the help of surface energy data
for the electrolyte/lithium interface and impedance analysis of the interface
during different stages of cell operation. Our findings provide support for an
important recent theoretical prediction that the surface mobility of lithium is
significantly enhanced in the presence of lithium halide salts.
| [{'version': 'v1', 'created': 'Thu, 24 Apr 2014 16:52:19 GMT'}] | 2015-01-27 | [array(['Lu', 'Yingying', ''], dtype=object)
array(['Tu', 'Zhengyuan', ''], dtype=object)
array(['Archer', 'Lynden', ''], dtype=object)] |
19,640 | 1606.05023 | Christopher Rose | Christopher Rose and Ismat Saira Mian | Inscribed Matter Communication: Part I | 20 pages, 6 figures, 1 Table in revision at IEEE Journal on
Molecular, Biological and Multiscale Communication | null | 10.1109/TMBMC.2017.2655025 | null | cs.ET cs.IT math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a fundamental treatment of the molecular communication channel
wherein "inscribed matter" is transmitted across a spatial gap to provide
reliable signaling between a sender and receiver. Inscribed matter is defined
as an ensemble of "tokens" (molecules, objects, and so on) and is inspired, at
least partially, by biological systems where groups of individually constructed
discrete particles ranging from molecules through membrane-bound structures
containing molecules to viruses and organisms are released by a source and
travel to a target -- for example, morphogens or semiochemicals diffuse from
one cell, tissue or organism diffuse to another. For identical tokens that are
neither lost nor modified, we consider messages encoded using three candidate
communication schemes: a) token timing (timed release), b) token payload
(composition), and c) token timing plus payload. We provide capacity bounds for
each scheme and discuss their relative utility. We find that under not
unreasonable assumptions, megabit per second rates could be supported at
femtoWatt transmitter powers. Since quantities such as token concentration or
bin-counting are derivatives of token arrival timing, individual token timing
undergirds all molecular communication techniques. Thus, our modeling and
results about the physics of efficient token-based information transfer can
inform investigations of diverse theoretical and practical problems in
engineering and biology. This work, Part I, focuses on the information
theoretic bounds on capacity. Part II develops some of the mathematical and
information-theoretic ideas that support the bounds presented here.
| [{'version': 'v1', 'created': 'Thu, 16 Jun 2016 01:36:05 GMT'}
{'version': 'v2', 'created': 'Sun, 19 Jun 2016 19:08:35 GMT'}
{'version': 'v3', 'created': 'Mon, 29 Aug 2016 18:31:39 GMT'}
{'version': 'v4', 'created': 'Tue, 22 Nov 2016 17:16:33 GMT'}
{'version': 'v5', 'created': 'Sat, 17 Dec 2016 01:59:50 GMT'}] | 2020-09-22 | [array(['Rose', 'Christopher', ''], dtype=object)
array(['Mian', 'Ismat Saira', ''], dtype=object)] |
19,641 | astro-ph/9403021 | null | C. H. Lineweaver, G. F. Smoot, C. L. Bennett, E. L. Wright, L.
Tenorio, A. Kogut, P. B. Keegstra, G. Hinshaw, A. J. Banday | Correlated Errors in the COBE DMR Sky Maps | 11 pages + 3 figures, post-script file | null | 10.1086/174920 | null | astro-ph | null | The {\it COBE} DMR sky maps contain low-level correlated noise. We obtain
estimates of the amplitude and pattern of the correlated noise from three
techniques: angular averages of the covariance matrix, Monte Carlo simulations
of two-point correlation functions, and direct analysis of the DMR maps. The
results from the three methods are mutually consistent. The noise covariance
matrix of a DMR sky map is diagonal to an accuracy of better than 1\%. For a
given sky pixel, the dominant noise covariance occurs with the ring of pixels
at an angular separation of $60 \deg$ due to the $60 \deg$ separation of the
DMR horns. The mean covariance at $60 \deg$ is $0.45\% ^{+0.18}_{-0.14}$ of the
mean variance. Additionally, the variance in a given pixel is $0.7\%$ greater
than would be expected from a single beam experiment with the same noise
properties. Auto-correlation functions suffer from a $\sim 1.5\; \sigma$
positive bias at $60 \deg$ while cross-correlations have no bias. Published
{\it COBE} DMR results are not significantly affected by correlated noise. COBE
pre-print 94-
| [{'version': 'v1', 'created': 'Thu, 10 Mar 1994 23:51:28 GMT'}] | 2009-10-22 | [array(['Lineweaver', 'C. H.', ''], dtype=object)
array(['Smoot', 'G. F.', ''], dtype=object)
array(['Bennett', 'C. L.', ''], dtype=object)
array(['Wright', 'E. L.', ''], dtype=object)
array(['Tenorio', 'L.', ''], dtype=object)
array(['Kogut', 'A.', ''], dtype=object)
array(['Keegstra', 'P. B.', ''], dtype=object)
array(['Hinshaw', 'G.', ''], dtype=object)
array(['Banday', 'A. J.', ''], dtype=object)] |
19,642 | hep-ph/9709465 | Kazakov Dmitri | D.I. Kazakov | Finiteness of Soft Terms in Finite N=1 SUSY Gauge Theories | Latex, 8pp, no figures | Phys.Lett.B421:211-216,1998 | 10.1016/S0370-2693(97)01561-X | null | hep-ph | null | Recently proposed relations between the renormalization group functions of
the soft supersymmetry breaking terms and those of a rigid theory allow one to
consider a possibility of constructing a totally all loop finite N=1 SUSY gauge
theory, including the soft SUSY breaking terms. The requirement of finiteness,
which can be satisfied in previously constructed finite SUSY GUTs, imposes some
constraints on the SUSY breaking parameters which, in the leading order,
coincide with those originating from the supergravity and superstring-inspired
models. Explicit relations between the soft terms, which lead to a completely
finite theory in any loop order, are given.
| [{'version': 'v1', 'created': 'Fri, 26 Sep 1997 09:06:44 GMT'}] | 2008-11-26 | [array(['Kazakov', 'D. I.', ''], dtype=object)] |
19,643 | astro-ph/0311551 | Tahir Yaqoob | Tahir Yaqoob & Urmila Padmanabhan | The Cores of the Fe K Lines in Seyfert I Galaxies Observed by the
Chandra High Energy Grating | Accepted for publication in the Astrophysical Journal. 15 pages, four
figures, two of them color. Abstract is slightly abridged | Astrophys.J. 604 (2004) 63-773 | 10.1086/381731 | null | astro-ph | null | We report on the results of 18 observations of the core, or peak, of the Fe K
emission line at $\sim 6.4$ keV in 15 Seyfert I galaxies using the {\it
Chandra} High Energy Grating (HEG). These data afford the highest precision
measurements of the peak energy of the Fe K line, and the highest spectral
resolution measurements of the width of the core of the line to date. We were
able to measure the peak energy in 17 data sets, and, excluding a very deep
observation of NGC 3783, we obtained a weighted mean of $6.404 \pm 0.005$ keV.
In all 15 sources the two-parameter, 99% confidence errors on the line peak
energy do not exclude fluorescent $K\alpha$ line emission from Fe {\sc i},
although two sources (Mkn 509 and 3C 120) stand out as very likely being
dominated by $K\alpha$ emission from Fe {\sc xvii} or so. We were able to
measure the line core width in 14 data sets and obtained a weighted mean of
2380 +/- 760 km/s FWHM (excluding the NGC 3783 deep exposure), a little larger
than the instrument resolution. However, there is evidence of underlying broad
line emission in at least 4 sources. In fact, the width of the peak varies
widely from source to source and it may in general have a contribution from the
outer parts of an accretion disk {\it and} more distant matter. For the disk
contribution to also peak at 6.4 keV requires greater line emissivity at
hundreds of gravitational radii than has been deduced from previous studies of
the Fe K line.
| [{'version': 'v1', 'created': 'Tue, 25 Nov 2003 06:19:36 GMT'}] | 2009-11-10 | [array(['Yaqoob', 'Tahir', ''], dtype=object)
array(['Padmanabhan', 'Urmila', ''], dtype=object)] |
19,644 | 0901.3665 | Dorin Drignei | Dorin Drignei, Chris E. Forest, Doug Nychka | Parameter estimation for computationally intensive nonlinear regression
with an application to climate modeling | Published in at http://dx.doi.org/10.1214/08-AOAS210 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org) | Annals of Applied Statistics 2008, Vol. 2, No. 4, 1217-1230 | 10.1214/08-AOAS210 | IMS-AOAS-AOAS210 | stat.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Nonlinear regression is a useful statistical tool, relating observed data and
a nonlinear function of unknown parameters. When the parameter-dependent
nonlinear function is computationally intensive, a straightforward regression
analysis by maximum likelihood is not feasible. The method presented in this
paper proposes to construct a faster running surrogate for such a
computationally intensive nonlinear function, and to use it in a related
nonlinear statistical model that accounts for the uncertainty associated with
this surrogate. A pivotal quantity in the Earth's climate system is the climate
sensitivity: the change in global temperature due to doubling of atmospheric
$\mathrm{CO}_2$ concentrations. This, along with other climate parameters, are
estimated by applying the statistical method developed in this paper, where the
computationally intensive nonlinear function is the MIT 2D climate model.
| [{'version': 'v1', 'created': 'Fri, 23 Jan 2009 12:29:51 GMT'}] | 2009-01-26 | [array(['Drignei', 'Dorin', ''], dtype=object)
array(['Forest', 'Chris E.', ''], dtype=object)
array(['Nychka', 'Doug', ''], dtype=object)] |
19,645 | 2010.04429 | Patrick Lumban Tobing | Patrick Lumban Tobing, Yi-Chiao Wu, Tomoki Toda | Baseline System of Voice Conversion Challenge 2020 with Cyclic
Variational Autoencoder and Parallel WaveGAN | null | null | null | null | cs.SD cs.CL eess.AS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present a description of the baseline system of Voice
Conversion Challenge (VCC) 2020 with a cyclic variational autoencoder
(CycleVAE) and Parallel WaveGAN (PWG), i.e., CycleVAEPWG. CycleVAE is a
nonparallel VAE-based voice conversion that utilizes converted acoustic
features to consider cyclically reconstructed spectra during optimization. On
the other hand, PWG is a non-autoregressive neural vocoder that is based on a
generative adversarial network for a high-quality and fast waveform generator.
In practice, the CycleVAEPWG system can be straightforwardly developed with the
VCC 2020 dataset using a unified model for both Task 1 (intralingual) and Task
2 (cross-lingual), where our open-source implementation is available at
https://github.com/bigpon/vcc20_baseline_cyclevae. The results of VCC 2020 have
demonstrated that the CycleVAEPWG baseline achieves the following: 1) a mean
opinion score (MOS) of 2.87 in naturalness and a speaker similarity percentage
(Sim) of 75.37% for Task 1, and 2) a MOS of 2.56 and a Sim of 56.46% for Task
2, showing an approximately or nearly average score for naturalness and an
above average score for speaker similarity.
| [{'version': 'v1', 'created': 'Fri, 9 Oct 2020 08:25:38 GMT'}] | 2020-10-12 | [array(['Tobing', 'Patrick Lumban', ''], dtype=object)
array(['Wu', 'Yi-Chiao', ''], dtype=object)
array(['Toda', 'Tomoki', ''], dtype=object)] |
19,646 | 1404.5780 | Samvel Darbinyan Kh. | Samvel Kh. Darbinyan and Iskandar A. Karapetyan | On Hamiltonian Bypasses in one Class of Hamiltonian Digraphs | 14 pages | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let $D$ be a strongly connected directed graph of order $n\geq 4$ which
satisfies the following condition (*): for every pair of non-adjacent vertices
$x, y$ with a common in-neighbour $d(x)+d(y)\geq 2n-1$ and $min \{ d(x),
d(y)\}\geq n-1$. In \cite{[2]} (J. of Graph Theory 22 (2) (1996) 181-187)) J.
Bang-Jensen, G. Gutin and H. Li proved that $D$ is Hamiltonian. In [9] it was
shown that if $D$ satisfies the condition (*) and the minimum semi-degree of
$D$ at least two, then either $D$ contains a pre-Hamiltonian cycle (i.e., a
cycle of length $n-1$) or $n$ is even and $D$ is isomorphic to the complete
bipartite digraph (or to the complete bipartite digraph minus one arc) with
partite sets of cardinalities of $n/2$ and $n/2$. In this paper we show that if
the minimum out-degree of $D$ at least two and the minimum in-degree of $D$ at
least three, then $D$ contains also a Hamiltonian bypass, (i.e., a subdigraph
is obtained from a Hamiltonian cycle by reversing exactly one arc).
| [{'version': 'v1', 'created': 'Wed, 23 Apr 2014 10:50:11 GMT'}] | 2014-04-24 | [array(['Darbinyan', 'Samvel Kh.', ''], dtype=object)
array(['Karapetyan', 'Iskandar A.', ''], dtype=object)] |
19,647 | 2305.11353 | Tomoharu Iwata | Tomoharu Iwata, Yoichi Chikahara | Meta-learning for heterogeneous treatment effect estimation with
closed-form solvers | null | null | null | null | stat.ML cs.AI cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article proposes a meta-learning method for estimating the conditional
average treatment effect (CATE) from a few observational data. The proposed
method learns how to estimate CATEs from multiple tasks and uses the knowledge
for unseen tasks. In the proposed method, based on the meta-learner framework,
we decompose the CATE estimation problem into sub-problems. For each
sub-problem, we formulate our estimation models using neural networks with
task-shared and task-specific parameters. With our formulation, we can obtain
optimal task-specific parameters in a closed form that are differentiable with
respect to task-shared parameters, making it possible to perform effective
meta-learning. The task-shared parameters are trained such that the expected
CATE estimation performance in few-shot settings is improved by minimizing the
difference between a CATE estimated with a large amount of data and one
estimated with just a few data. Our experimental results demonstrate that our
method outperforms the existing meta-learning approaches and CATE estimation
methods.
| [{'version': 'v1', 'created': 'Fri, 19 May 2023 00:07:38 GMT'}] | 2023-05-22 | [array(['Iwata', 'Tomoharu', ''], dtype=object)
array(['Chikahara', 'Yoichi', ''], dtype=object)] |
19,648 | 2306.09173 | Forouh Maleki | Forouh Maleki and Ali Najafi | Instabilities in a growing system of active particles: scalar and vector
systems | null | null | null | null | cond-mat.soft physics.flu-dyn | http://creativecommons.org/licenses/by/4.0/ | The physics of micron-scale biological colonies usually benefits from
different out-of-equilibrium sources. In bacterial colonies and cellular
tissues, the growth process is among the important active sources that
determine the dynamics. In this article, we study the generic dynamical
instabilities associated with the growth phenomena that may arise in both
scalar and vectorial systems. In vectorial systems, where the rotational
degrees of particles play a role, a phenomenological growthmediated torque can
affect the rotational dynamics of individual particles. We show that such a
growth-mediated torque can result in active traveling waves in the bulk of a
growing system. In addition to the bulk properties, we analyze the
instabilities in the shape of growing interfaces in both scalar and vectorial
systems.
| [{'version': 'v1', 'created': 'Thu, 15 Jun 2023 14:50:32 GMT'}] | 2023-06-16 | [array(['Maleki', 'Forouh', ''], dtype=object)
array(['Najafi', 'Ali', ''], dtype=object)] |
19,649 | 0911.3290 | Emmanuel Trizac | Vicente Garzo and Emmanuel Trizac | Rheological properties for inelastic Maxwell mixtures under shear flow | null | Journal of Non-Newtonian Fluid Mechanics 165 (2010) 932-940 | null | null | cond-mat.stat-mech cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Boltzmann equation for inelastic Maxwell models is considered to
determine the rheological properties in a granular binary mixture in the simple
shear flow state. The transport coefficients (shear viscosity and viscometric
functions) are {\em exactly} evaluated in terms of the coefficients of
restitution, the (reduced) shear rate and the parameters of the mixture
(particle masses, diameters and concentration). The results show that in
general, for a given value of the coefficients of restitution, the above
transport properties decrease with increasing shear rate.
| [{'version': 'v1', 'created': 'Tue, 17 Nov 2009 12:40:03 GMT'}] | 2010-12-22 | [array(['Garzo', 'Vicente', ''], dtype=object)
array(['Trizac', 'Emmanuel', ''], dtype=object)] |
19,650 | cond-mat/9503092 | Heiko Rieger | Heiko Rieger | Comment on: Dynamic and Static Properties of the Randomly Pinned Flux
Array | 6 pages, RevTeX, 2 postscript figures included as uuencoded
Z-compressed .tar file created by uufiles | Phys.Rev.Lett. 74 (1995) 4964 | 10.1103/PhysRevLett.74.4964 | HLRZ-14/95, THP31-95 | cond-mat hep-lat | null | We reconsider the model of the randomly pinned planar flux array (or the
two-dimensional XY-model with random fields and no vortices) in extensive Monte
Carlo simulations. We show that contrary to what has been reported recently
[Phys.\ Rev.\ Lett.\ {\bf 72}, 4133 (1994)] the disorder-averaged displacement
correlation function is different from the pure case for larger values of the
disorder. Its slope as a function of the logarithm of disorder is compatible
with newer RG-calculation results.
| [{'version': 'v1', 'created': 'Fri, 17 Mar 1995 11:16:26 GMT'}] | 2009-10-28 | [array(['Rieger', 'Heiko', ''], dtype=object)] |
19,651 | 1211.5812 | Serge Vladuts | Nikolai Nadirashvili, Serge Vladuts | Singular Solutions of Hessian Elliptic Equations in Five Dimensions | 20 pages. arXiv admin note: substantial text overlap with
arXiv:1111.0329, arXiv:0912.3126 | Journal de Math\'ematiques Pures et Appliqu\'ees 100 (2013),
769-784 | null | null | math.AP math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that for any $\delta\in [0,1)$ there exists a homogeneous order
$2-\delta$ analytic outside zero solution to a uniformly elliptic Hessian
equation in R^5.
| [{'version': 'v1', 'created': 'Sun, 25 Nov 2012 21:45:58 GMT'}] | 2018-02-06 | [array(['Nadirashvili', 'Nikolai', ''], dtype=object)
array(['Vladuts', 'Serge', ''], dtype=object)] |
19,652 | math/0607111 | Laurent Denis | Laurent Denis, Claude Martini | A theoretical framework for the pricing of contingent claims in the
presence of model uncertainty | Published at http://dx.doi.org/10.1214/105051606000000169 in the
Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute
of Mathematical Statistics (http://www.imstat.org) | Annals of Applied Probability 2006, Vol. 16, No. 2, 827-852 | 10.1214/105051606000000169 | IMS-AAP-AAP0158 | math.PR | null | The aim of this work is to evaluate the cheapest superreplication price of a
general (possibly path-dependent) European contingent claim in a context where
the model is uncertain. This setting is a generalization of the uncertain
volatility model (UVM) introduced in by Avellaneda, Levy and Paras. The
uncertainty is specified by a family of martingale probability measures which
may not be dominated. We obtain a partial characterization result and a full
characterization which extends Avellaneda, Levy and Paras results in the UVM
case.
| [{'version': 'v1', 'created': 'Wed, 5 Jul 2006 09:27:47 GMT'}] | 2007-05-23 | [array(['Denis', 'Laurent', ''], dtype=object)
array(['Martini', 'Claude', ''], dtype=object)] |
19,653 | cond-mat/0401165 | Thomas Anker | Th. Anker, M. Albiez, B. Eiermann, M. Taglieber and M.K. Oberthaler | Linear and nonlinear dynamics of matter wave packets in periodic
potentials | 7 pages, 4 figures | Opt. Express 12, 11-18 (2004) | 10.1364/OPEX.12.000011 | null | cond-mat | null | We investigate experimentally and theoretically the nonlinear propagation of
87Rb Bose Einstein condensates in a trap with cylindrical symmetry. An
additional weak periodic potential which encloses an angle with the symmetry
axis of the waveguide is applied. The observed complex wave packet dynamics
results from the coupling of transverse and longitudinal motion. We show that
the experimental observations can be understood applying the concept of
effective mass, which also allows to model numerically the three dimensional
problem with a one dimensional equation. Within this framework the observed
slowly spreading wave packets are a consequence of the continuous change of
dispersion. The observed splitting of wave packets is very well described by
the developed model and results from the nonlinear effect of transient
solitonic propagation.
| [{'version': 'v1', 'created': 'Sat, 10 Jan 2004 22:29:21 GMT'}] | 2009-11-10 | [array(['Anker', 'Th.', ''], dtype=object)
array(['Albiez', 'M.', ''], dtype=object)
array(['Eiermann', 'B.', ''], dtype=object)
array(['Taglieber', 'M.', ''], dtype=object)
array(['Oberthaler', 'M. K.', ''], dtype=object)] |
19,654 | 1802.03728 | Gad Koren | Gad Koren | Strongly suppressed superconducting proximity effect and ferromagnetism
in trilayers of $\rm Bi_2Se_3$ / $\rm SrRuO_3$ / underdoped $\rm
YBa_2Cu_3O_x$: A possible new platform for Majorana nano-electronics | Comments are welcomed | Supercond. Sci. Technol. 31 (2018) 075004 | 10.1088/1361-6668/aac25e | null | cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report properties of topological insulator - ferromagnet - superconductor
trilayers comprised of thin films of 20 nm thick $\rm Bi_2Se_3$ on 10 nm $\rm
SrRuO_3$ on 30 nm $\rm YBa_2Cu_3O_x$. As deposited trilayers are underdoped and
have a superconductive transition with $\rm T_c$ onset at 75 K, zero resistance
at 65 K, $\rm T_{Cueri}$ at 150 K and $\rm T^*$ of about 200 K. Further
reannealing under vacuum yields the 60 K phase of $\rm YBa_2Cu_3O_x$ which
still has zero resistance below about 40 K. Only when $10\times 100$
micro-bridges were patterned in the trilayer, some of the bridges showed
resistive behavior all the way down to low temperatures. Magnetoresistance
versus temperature of the superconductive ones showed the typical peak due to
flux flow against pinning below $\rm T_c$, while the resistive ones showed only
the broad leading edge of such a peak. All this indicates clearly weak-link
superconductivity in the resistive bridges between superconductive $\rm
YBa_2Cu_3O_x$ grains via the topological and ferromagnetic cap layers.
Comparing our results to those of a reference trilayer with the topological
$\rm Bi_2Se_3$ layer substituted by a non-superconducting highly overdoped $\rm
La_{1.65}Sr_{0.35}CuO_4$, indicates that the superconductive proximity effect
as well as ferromagnetism in the topological trilayer are actually strongly
suppressed compared to the non-topological reference trilayer. This strong
suppression is likely to originate in strong proximity induced edge currents in
the SRO/YBCO layer that can lead to Majorana bound states, a possible signature
of which is observed in the present study as zero bias conductance peaks.
| [{'version': 'v1', 'created': 'Sun, 11 Feb 2018 12:14:32 GMT'}
{'version': 'v2', 'created': 'Thu, 15 Feb 2018 11:25:44 GMT'}] | 2018-06-01 | [array(['Koren', 'Gad', ''], dtype=object)] |
19,655 | 1102.0228 | Wilfrid Kendall | Wilfrid S. Kendall and Huiling Le | Limit theorems for empirical Fr\'echet means of independent and
non-identically distributed manifold-valued random variables | 29 pages 28 June 2011: typos corrected | null | null | null | math.PR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove weak laws of large numbers and central limit theorems of Lindeberg
type for empirical centres of mass (empirical Fr\'echet means) of independent
non-identically distributed random variables taking values in Riemannian
manifolds. In order to prove these theorems we describe and prove a simple kind
of Lindeberg-Feller central approximation theorem for vector-valued random
variables, which may be of independent interest and is therefore the subject of
a self-contained section. This vector-valued result allows us to clarify the
number of conditions required for the central limit theorem for empirical
Fr\'echet means, while extending its scope.
| [{'version': 'v1', 'created': 'Tue, 1 Feb 2011 17:30:37 GMT'}
{'version': 'v2', 'created': 'Tue, 28 Jun 2011 13:34:44 GMT'}] | 2011-06-29 | [array(['Kendall', 'Wilfrid S.', ''], dtype=object)
array(['Le', 'Huiling', ''], dtype=object)] |
19,656 | 1702.04706 | Jorge Ramos J. G. G. S. Ramos | E. R. Silva, A. L. R. Barbosa, J. G. G. S. Ramos | Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect | 3 figures | E. F. Silva et al 2017 EPL 117 14001 | 10.1209/0295-5075/117/14001 | null | cond-mat.mes-hall quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The current manuscript employs the parity and time reversal symmetry in the
Hanbury Brown-Twiss experiment. For this purpose, we develop a general
scattering matrix framework founded on the concatenation of many individual
compounded scattering processes on the setup. In this way, we derive the
general scattering matrix of a parity and time reversal symmetric Hanbury
Brown-Twiss experiment (HBT-PT). Within such scattering formulation, we propose
a theoretical framework which provides how to measure the symmetry of the
system through the correlation function of a pair of particles transmitted
through the leads. The correlation function naturally reveal the quantum
statistics of both bosons and fermions and demonstrate a very preponderant role
of PT symmetry on the HBT experiment. We indicate the formation of both quantum
and classical universal Turing machine depending on controllable parameters of
the apparatus.
| [{'version': 'v1', 'created': 'Wed, 15 Feb 2017 18:30:59 GMT'}] | 2017-02-16 | [array(['Silva', 'E. R.', ''], dtype=object)
array(['Barbosa', 'A. L. R.', ''], dtype=object)
array(['Ramos', 'J. G. G. S.', ''], dtype=object)] |
19,657 | 1711.00778 | Andrey Dymov | Andrey V. Dymov | Asymptotic behaviour of a network of oscillators coupled to thermostats
of finite energy | 22 pages. In comparison with the previous version where a chain of
oscillators was considered, the result is generalized to the case when the
oscillators form arbitrary network | null | 10.1134/S1061920818020048 | null | math-ph math.DS math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the asymptotic behaviour of a finite network of oscillators
(harmonic or anharmonic) coupled to a number of deterministic Lagrangian
thermostats of finite energy. In particular, we consider a chain of oscillators
interacting with two thermostats situated at the boundary of the chain. Under
appropriate assumptions we prove that the vector $(p,q)$ of moments and
coordinates of the oscillators in the network satisfies $(p,q)(t)\to (0,q_c)$
when $t\to\infty$, where $q_c$ is a critical point of some effective potential,
so that the oscillators just stop. Moreover, we argue that the energy transport
in the system stops as well without reaching the thermal equilibrium. This
result is in contrast to the situation when the energies of the thermostats are
infinite, studied for a similar system in [14] and subsequent works, where the
convergence to a non-trivial limiting regime was established. The proof is
based on a method developed in [22], where it was observed that the thermostats
produce some effective dissipation despite the Lagrangian nature of the system.
| [{'version': 'v1', 'created': 'Thu, 2 Nov 2017 15:23:11 GMT'}
{'version': 'v2', 'created': 'Sat, 17 Mar 2018 11:46:08 GMT'}] | 2018-07-04 | [array(['Dymov', 'Andrey V.', ''], dtype=object)] |
19,658 | 2104.09144 | Lukas Razinkovas | Lukas Razinkovas, Marek Maciaszek, Friedemann Reinhard, Marcus W.
Doherty and Audrius Alkauskas | Photoionization of negatively charged NV centers in diamond: theory and
ab initio calculations | 14 pages, 9 figures | null | 10.1103/PhysRevB.104.235301 | null | cond-mat.mtrl-sci physics.comp-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present ab-initio calculations of photoionization thresholds and cross
sections of the negatively charged nitrogen-vacancy (NV) center in diamond from
the ground $^{3}\!A_2$ and the excited $^{3}\!E$ states. We show that after the
ionization from the $^{3}\!E$ level the NV center transitions into the
metastable $^{4}\!A_2$ electronic state of the neutral defect. We reveal how
spin polarization of $\mathrm{NV}^{-}$ gives rise to spin polarization of the
$^{4}\!A_2$ state, providing an explanation of electron spin resonance
experiments. We obtain smooth photoionization cross sections by employing dense
$k$-point meshes for the Brillouin zone integration together with the band
unfolding technique to rectify the distortions of the band structure induced by
artificial periodicity of the supercell approach. Our calculations provide a
comprehensive picture of photoionization mechanisms of $\mathrm{NV}^{-}$. They
will be useful in interpreting and designing experiments on charge-state
dynamics at NV centers. In particular, we offer a consistent explanation of
recent results of spin-to-charge conversion of NV centers.
| [{'version': 'v1', 'created': 'Mon, 19 Apr 2021 09:03:50 GMT'}
{'version': 'v2', 'created': 'Tue, 20 Apr 2021 07:26:45 GMT'}] | 2021-12-15 | [array(['Razinkovas', 'Lukas', ''], dtype=object)
array(['Maciaszek', 'Marek', ''], dtype=object)
array(['Reinhard', 'Friedemann', ''], dtype=object)
array(['Doherty', 'Marcus W.', ''], dtype=object)
array(['Alkauskas', 'Audrius', ''], dtype=object)] |
19,659 | astro-ph/0007406 | Niel Brandt | W.N. Brandt (Penn State), N.S. Schulz (MIT) | The Discovery of Broad P Cygni X-ray Lines from Circinus X-1 with the
Chandra High Energy Transmission Grating Spectrometer | 17 pages, ApJL, in press; minor improvements made to address
referee's suggestions | null | 10.1086/317313 | null | astro-ph | null | We present the first grating-resolution X-ray spectra of the X-ray binary Cir
X-1, obtained with the High Energy Transmission Grating Spectrometer on
Chandra. These reveal a rich set of lines from H-like and/or He-like Ne, Mg,
Si, S and Fe detected with a high signal-to-noise ratio. The lines are broad
(+/- 2000 km/s) and show P Cygni profiles. The absorption components of the
lines extend to low velocity, and they have about the same widths and strengths
as the corresponding emission components. The widths of the X-ray P Cygni lines
are comparable to that of the broad component of the strong, asymmetric H-alpha
line from Cir X-1, suggesting that the two phenomena may be related. We discuss
outflow models and propose that the P Cygni profiles may arise in the moderate
temperature (5 x 10^6 K) region of the wind from an X-ray heated accretion
disk. This basic picture strengthens the idea that the accretion disk in Cir
X-1 is viewed in a relatively edge-on manner, and it suggests that Cir X-1 is
the X-ray binary analog of a Broad Absorption Line quasar.
| [{'version': 'v1', 'created': 'Wed, 26 Jul 2000 20:28:49 GMT'}
{'version': 'v2', 'created': 'Fri, 29 Sep 2000 20:09:42 GMT'}] | 2009-10-31 | [array(['Brandt', 'W. N.', '', 'Penn State'], dtype=object)
array(['Schulz', 'N. S.', '', 'MIT'], dtype=object)] |
19,660 | 1608.02021 | Yefeng Ruan | Yefeng Ruan and Tzu-Chun Lin | An Integrated Recommender Algorithm for Rating Prediction | null | null | null | null | cs.SI cs.IR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recommender system is currently widely used in many e-commerce systems, such
as Amazon, eBay, and so on. It aims to help users to find items which they may
be interested in. In literature, neighborhood-based collaborative filtering and
matrix factorization are two common methods used in recommender systems. In
this paper, we combine these two methods with personalized weights on them.
Rather than using fixed weights for these two methods, we assume each user has
her/his own preference over them. Our results shows that our algorithm
outperforms neighborhood-based collaborative filtering algorithm, matrix
factorization algorithm and their combination with fixed weights.
| [{'version': 'v1', 'created': 'Fri, 5 Aug 2016 20:57:37 GMT'}] | 2016-08-09 | [array(['Ruan', 'Yefeng', ''], dtype=object)
array(['Lin', 'Tzu-Chun', ''], dtype=object)] |
19,661 | math/0509499 | Matthew Hedden | Matthew Hedden | Notions of positivity and the Ozsvath-Szabo concordance invariant | 13 pages, 3 figures | null | null | null | math.GT math.SG | null | In this paper we examine the relationship between various types of positivity
for knots and the concodance invariant tau discovered by Ozsvath and Szabo and
independently by Rasmussen. The main result shows that, for fibered knots, tau
characterizes strong quasipositivity. This is quantified by the statement that
for K fibered, tau(K)=g(K) if and only if K is strongly quasipositive. In
addition, we survey existing results regarding tau and forms of positivity and
highlight several consequences concerning the types of knots which are
(strongly) (quasi) positive. For instance, we show that any knot known to admit
a lens space surgery is strongly quasipositive and exhibit infinite families of
knots which are not quasipositive.
| [{'version': 'v1', 'created': 'Wed, 21 Sep 2005 18:26:20 GMT'}] | 2007-05-23 | [array(['Hedden', 'Matthew', ''], dtype=object)] |
19,662 | 1307.0867 | Jeffrey Stopple | Jeffrey Stopple | On the theorem of Conrey and Iwaniec | null | null | null | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An exposition on "Spacing of zeros of Hecke L-functions and the class number
problem" by Conrey and Iwaniec; any errors are my own.
| [{'version': 'v1', 'created': 'Tue, 2 Jul 2013 22:12:54 GMT'}] | 2013-07-04 | [array(['Stopple', 'Jeffrey', ''], dtype=object)] |
19,663 | nlin/0509007 | Camille Roth | Camille Roth (CREA), Paul Bourgine (CREA) | Lattices for Dynamic, Hierarchic & Overlapping Categorization: the Case
of Epistemic Communities | 14 pages, 8 figures | null | null | null | nlin.AO cs.AI cs.DL cs.IR | null | We present a method for hierarchic categorization and taxonomy evolution
description. We focus on the structure of epistemic communities (ECs), or
groups of agents sharing common knowledge concerns. Introducing a formal
framework based on Galois lattices, we categorize ECs in an automated and
hierarchically structured way and propose criteria for selecting the most
relevant epistemic communities - for instance, ECs gathering a certain
proportion of agents and thus prototypical of major fields. This process
produces a manageable, insightful taxonomy of the community. Then, the
longitudinal study of these static pictures makes possible an historical
description. In particular, we capture stylized facts such as field progress,
decline, specialization, interaction (merging or splitting), and paradigm
emergence. The detection of such patterns in social networks could fruitfully
be applied to other contexts.
| [{'version': 'v1', 'created': 'Sun, 4 Sep 2005 18:15:40 GMT'}] | 2016-09-08 | [array(['Roth', 'Camille', '', 'CREA'], dtype=object)
array(['Bourgine', 'Paul', '', 'CREA'], dtype=object)] |
19,664 | 1803.11511 | Elshad Allahyarov | Elshad Allahyarov and Hartmut L\"owen | Length segregation in mixtures of spherocylinders induced by imposed
topological defects | 10 pages, 9 figures | null | null | null | cond-mat.soft | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore length segregation in binary mixtures of spherocylinders of
lengths $L_1$ and $L_2$ with the same diameter $D$ which are tangentially
confined on a spherical surface of radius $R$. The orientation of
spherocylinders is constrained along an externally imposed direction field on
the sphere which is either along the longitude or the latitude lines of the
sphere. In both situations, integer orientational defects at the poles are
imposed. We show that these topological defects induce a complex segregation
picture also depending on the length ratio factor $\gamma$=$L_2/L_1$ and the
total packing fraction $\eta$ of the spherocylinders. When the binary mixture
is aligned along longitudinal lines of the sphere, shorter rods tend to
accumulate at the topological defects of the polar caps whereas longer rods
occupy central equatorial area of the spherical surface. In the reverse case of
latitude ordering, a state can emerge where longer rods are predominantly both
in the cap and in the equatorial areas and shorter rods are localized in
between. As a reference situation, we consider a defect-free situation in the
flat plane and do not find any length segregation there at similar $\gamma$ and
$\eta$, hence the segregation is purely induced by the imposed topological
defects. It is also revealed that the shorter rods at $\gamma$=4 and $\eta
\ge$0.5 act as obstacles to the rotational relaxation of the longer rods when
all orientational constraints are released.
| [{'version': 'v1', 'created': 'Fri, 30 Mar 2018 15:25:21 GMT'}] | 2018-04-02 | [array(['Allahyarov', 'Elshad', ''], dtype=object)
array(['Löwen', 'Hartmut', ''], dtype=object)] |
19,665 | 2111.03035 | Yiannis Karavias | Yiannis Karavias (1), Paresh Narayan (2), Joakim Westerlund (3 and 4)
((1) University of Birmingham, (2) Monash University, (3) Lund University,
(4) Deakin University) | Structural Breaks in Interactive Effects Panels and the Stock Market
Reaction to COVID-19 | null | null | null | null | econ.EM | http://creativecommons.org/licenses/by/4.0/ | Dealing with structural breaks is an important step in most, if not all,
empirical economic research. This is particularly true in panel data comprised
of many cross-sectional units, such as individuals, firms or countries, which
are all affected by major events. The COVID-19 pandemic has affected most
sectors of the global economy, and there is by now plenty of evidence to
support this. The impact on stock markets is, however, still unclear. The fact
that most markets seem to have partly recovered while the pandemic is still
ongoing suggests that the relationship between stock returns and COVID-19 has
been subject to structural change. It is therefore important to know if a
structural break has occurred and, if it has, to infer the date of the break.
In the present paper we take this last observation as a source of motivation to
develop a new break detection toolbox that is applicable to different sized
panels, easy to implement and robust to general forms of unobserved
heterogeneity. The toolbox, which is the first of its kind, includes a test for
structural change, a break date estimator, and a break date confidence
interval. Application to a panel covering 61 countries from January 3 to
September 25, 2020, leads to the detection of a structural break that is dated
to the first week of April. The effect of COVID-19 is negative before the break
and zero thereafter, implying that while markets did react, the reaction was
short-lived. A possible explanation for this is the quantitative easing
programs announced by central banks all over the world in the second half of
March.
| [{'version': 'v1', 'created': 'Thu, 4 Nov 2021 17:37:29 GMT'}] | 2021-11-05 | [array(['Karavias', 'Yiannis', '', '3 and 4'], dtype=object)
array(['Narayan', 'Paresh', '', '3 and 4'], dtype=object)
array(['Westerlund', 'Joakim', '', '3 and 4'], dtype=object)] |
19,666 | 2004.09826 | Farzollah Mirzapour | F. Mirzapour, A. Mirzapour | Further properties of involutory and idempotent matrices | null | null | null | null | math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we will derive the real roots of certain sets of matrices with
real entries. We will also demonstrate that real orthogonal matrices can have
real root or be involutory. Eventually, we will represent idempotent matrices
in a block form.
| [{'version': 'v1', 'created': 'Tue, 21 Apr 2020 08:43:20 GMT'}] | 2020-04-22 | [array(['Mirzapour', 'F.', ''], dtype=object)
array(['Mirzapour', 'A.', ''], dtype=object)] |
19,667 | 1805.04782 | Thomas Krainer | Thomas Krainer, Chenzhang Zhou | An explicit third-order one-step method for autonomous scalar initial
value problems of first order based on adaptive quadratic Taylor
approximation | null | Involve 13 (2020) 231-255 | 10.2140/involve.2020.13.231 | null | math.NA math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an explicit 1-step numerical method of third order that is
error-free on autonomous scalar Riccati equations such as the logistic
equation. The method replaces the differential equation by its quadratic Taylor
polynomial in each step and utilizes the exact solution of that equation for
the calculation of the next approximation.
| [{'version': 'v1', 'created': 'Sat, 12 May 2018 21:03:49 GMT'}] | 2020-04-01 | [array(['Krainer', 'Thomas', ''], dtype=object)
array(['Zhou', 'Chenzhang', ''], dtype=object)] |
19,668 | 1902.09511 | Yasemin Karacora | Yasemin Karacora, Ali Kariminezhad and Aydin Sezgin | Hybrid Beamforming: Where Should the Analog Power Amplifiers be Placed? | 5 pages, 2 figures, accepted for presentation at ICASSP 2019 | null | null | null | cs.IT eess.SP math.IT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we study the spectral efficiency (SE) of a point-to-point
massive multiple-input multiple-output system (P2P-massive MIMO) with limited
radio frequency (RF) chains, i.e., analog-to-digital/ digital-to-analog
(D2A/A2D) modules, at the transceivers. The resulting architecture is known as
hybrid beamforming, where the joint analog and digital beamforming optimization
maximizes the SE. We analyze the SE of the system by keeping the number of
RF-chains low, but placing analog amplifiers at different paths. Conventional
hybrid beamforming architecture uses the amplifiers right after the D2A
modules. However, placing them at the phase shifters or at the antennas can
effect the SE of hybrid beamforming. We study the optimal placement of the
analog amplifiers and pinpoint the amount of loss in case of misplaced
amplifiers.
| [{'version': 'v1', 'created': 'Mon, 25 Feb 2019 18:46:46 GMT'}] | 2019-02-26 | [array(['Karacora', 'Yasemin', ''], dtype=object)
array(['Kariminezhad', 'Ali', ''], dtype=object)
array(['Sezgin', 'Aydin', ''], dtype=object)] |
19,669 | 2103.15227 | Evgeni Dimitrov | Sayan Das and Evgeni Dimitrov | Large deviations for discrete $\beta$-ensembles | 84 pages, 5 figures. We corrected a few typos in the first version of
the paper and generalized one of our applications in Section 6 | null | null | null | math.PR math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider discrete $\beta$-ensembles as introduced by Borodin, Gorin and
Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017).
Under general assumptions, we establish a large deviation principle for their
rightmost particle. We apply our general results to two classes of measures
that are related to Jack symmetric functions.
| [{'version': 'v1', 'created': 'Sun, 28 Mar 2021 21:43:22 GMT'}
{'version': 'v2', 'created': 'Wed, 16 Feb 2022 13:50:59 GMT'}] | 2022-02-17 | [array(['Das', 'Sayan', ''], dtype=object)
array(['Dimitrov', 'Evgeni', ''], dtype=object)] |
19,670 | 1502.07241 | Frank Hannig | Frank Hannig, Dietmar Fey, Anton Lokhmotov | Proceedings of the DATE Friday Workshop on Heterogeneous Architectures
and Design Methods for Embedded Image Systems (HIS 2015) | Website of the workshop: https://www12.cs.fau.de/ws/his2015/ | null | null | null | cs.AR cs.CV cs.DC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This volume contains the papers accepted at the DATE Friday Workshop on
Heterogeneous Architectures and Design Methods for Embedded Image Systems (HIS
2015), held in Grenoble, France, March 13, 2015. HIS 2015 was co-located with
the Conference on Design, Automation and Test in Europe (DATE).
| [{'version': 'v1', 'created': 'Wed, 25 Feb 2015 16:52:56 GMT'}
{'version': 'v2', 'created': 'Thu, 26 Feb 2015 06:00:09 GMT'}] | 2015-02-27 | [array(['Hannig', 'Frank', ''], dtype=object)
array(['Fey', 'Dietmar', ''], dtype=object)
array(['Lokhmotov', 'Anton', ''], dtype=object)] |
19,671 | 2102.08457 | Joseph Ryan | Joseph Ryan | Constraints on power law cosmology from cosmic chronometer, standard
ruler, and standard candle data | 18 pages, 2 figures. The previous version of this paper was rejected
by Phys. Rev. D; this version has been accepted for publication in JCAP after
some minor editorial changes | JCAP08(2021)051 | 10.1088/1475-7516/2021/08/051 | null | astro-ph.CO gr-qc hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper I investigate how well simple power law expansion fits
observational data in comparison to the standard $\Lambda$CDM model. I analyze
a data set consisting of cosmic chronometer, standard ruler, and standard
candle measurements, finding that the $\Lambda$CDM model provides a better fit
to most combinations of these data than the power law ansatz.
| [{'version': 'v1', 'created': 'Tue, 16 Feb 2021 21:28:25 GMT'}
{'version': 'v2', 'created': 'Mon, 23 Aug 2021 21:43:53 GMT'}] | 2021-08-25 | [array(['Ryan', 'Joseph', ''], dtype=object)] |
19,672 | math-ph/0403002 | Gerhard Rein | Gerhard Rein | Global weak solutions to the relativistic Vlasov-Maxwell system
revisited | 16 pages, LaTeX | Comm. Math. Sci., Vol. 2, No. 2, pp. 145-158 (2004) | null | null | math-ph math.MP | null | In 1989, R. DiPerna and P.-L. Lions established the existence of global weak
solutions to the Vlasov-Maxwell system. In the present notes we give a somewhat
simplified proof of this result for the relativistic version of this system,
the main purpose being to make this important result of kinetic theory more
easily accessible to newcomers in the field. We show that the weak solutions
preserve the total charge.
| [{'version': 'v1', 'created': 'Tue, 2 Mar 2004 09:26:52 GMT'}
{'version': 'v2', 'created': 'Wed, 7 Jul 2004 09:16:13 GMT'}] | 2016-09-07 | [array(['Rein', 'Gerhard', ''], dtype=object)] |
19,673 | 2102.11199 | Jos\'e Rafael Bordin | Murilo S. Marques and Jos\'e Rafael Bordin | Hard core-soft shell particles near repulsive interfaces: interplay
between adsorption, aggregation and diffusion | null | null | null | null | cond-mat.soft cond-mat.mes-hall | http://creativecommons.org/licenses/by/4.0/ | The behavior of colloidal particles with a hard core and a soft shell has
attracted the attention for researchers in the physical-chemistry interface not
only due the large number of applications, but due the unique properties of
these systems in bulk and at interfaces. The adsorption at the boundary of two
phases can provide information about the molecular arrangement. In this way, we
perform Langevin Dynamics simulations of polymer-grafted nanoparticles. We
employed a recently obtained core-softened potential to analyze the relation
between adsorption, structure and dynamic properties of the nanoparticles near
a solid repulsive surface. Two cases were considered: flat or structured walls.
At low temperatures, a maxima is observed in the adsorption. It is related to a
fluid to clusters transition and with a minima in the contact layer diffusion -
and is explained by the competition between the scales in the core-softened
interaction. Due the long range repulsion, the particles stay at the distance
correspondent to this length scale at low densities, and overcome the repulsive
barrier as the packing increases, However, increasing the temperature, the gain
in kinetic energy allows the colloids to overcome the long range repulsion
barrier even at low densities. As consequence, there is no competition and no
maxima was observed in the adsorption.
| [{'version': 'v1', 'created': 'Mon, 22 Feb 2021 17:25:26 GMT'}] | 2021-02-23 | [array(['Marques', 'Murilo S.', ''], dtype=object)
array(['Bordin', 'José Rafael', ''], dtype=object)] |
19,674 | hep-th/9802135 | Wellington da Cruz | Wellington da Cruz | Hausdorff dimension, fractional spin particles and Chern-Simons
effective potential | latex, 4 pages | null | null | UEL-DF/W-03/97 | hep-th hep-ph | null | We obtain for any spin, $s$, the Hausdorff dimension, $h_{i}$, for fractional
spin particles and we discuss the connection between this number, $h_{i}$, and
the Chern-Simons potential. We also define the topological invariants, $W_s$,
in terms of the statistics of these particles.
| [{'version': 'v1', 'created': 'Thu, 19 Feb 1998 17:40:29 GMT'}] | 2007-05-23 | [array(['da Cruz', 'Wellington', ''], dtype=object)] |
19,675 | math-ph/0307002 | Christian Hainzl | Christian Hainzl | On the Vacuum Polarization Density Caused by an External Field | proofs corrected | Annales Henri Poincare 5 (2004) 1137-1157 | 10.1007/s00023-004-0194-4 | null | math-ph hep-th math.FA math.MP | null | We consider an external potential, $-\lambda \phi$, due to one or more
nuclei. Following the Dirac picture such a potential polarizes the vacuum. The
polarization density as derived in physics literature, after a well known
renormalization procedure, depends decisively on the strength of $\lambda$. For
small $\lambda$, more precisely as long as the lowest eigenvalue,
$e_1(\lambda)$, of the corresponding Dirac operator stays in the gap of the
essential spectrum, the integral over the density vanishes. In other words the
vacuum stays neutral. But as soon as $e_1(\lambda)$ dives into the lower
continuum the vacuum gets spontaneously charged with charge $ 2e$. Global
charge conservation implies that two positrons were emitted out of the vacuum,
this is, a large enough external potential can produce electron-positron pairs.
We give a rigorous proof of that phenomenon.
| [{'version': 'v1', 'created': 'Tue, 1 Jul 2003 16:49:38 GMT'}
{'version': 'v2', 'created': 'Thu, 4 Sep 2003 12:45:34 GMT'}
{'version': 'v3', 'created': 'Wed, 11 Feb 2004 08:55:33 GMT'}] | 2009-11-10 | [array(['Hainzl', 'Christian', ''], dtype=object)] |
19,676 | nucl-th/9704028 | Alexey Barabanov | A. L. Barabanov (The Kurchatov Institute, Moscow, Russia) | T-noninvariant effect in muon capture by 6-Li nucleus with decay to a
continuum | 7 pages, no figures, Latex | Phys.Atom.Nucl. 60 (1997) 6-11; Yad.Fiz. 60N1 (1997) 10-15 | null | null | nucl-th | null | The T-noninvariant transverse polarization of neutrons is considered for muon
capture by a 6-Li nucleus with decay into a quasistationary 2+ state of the
three particle alpha+n+n continuum. This polarization is orthogonal to the
plane spanned by the polarization axis of the initial mesic atom and the
neutron momentum. The situation in which neutrons that are emitted in the plane
orthogonal to the axis of the mesic-atom polarization and which have oppositely
directed momenta equal in magnitude are selected is analyzed. The wave function
of the final state is constructed by using the method of hyperspherical
harmonics. In the approximation of the allowed Gamow-Teller transition 1+ to
2+, this neutron polarization is expressed in terms of the T-noninvariant
relative phase of reduced matrix elements for transitions from the 6-Li ground
state to various final-state configurations.
| [{'version': 'v1', 'created': 'Mon, 14 Apr 1997 10:21:39 GMT'}] | 2007-05-23 | [array(['Barabanov', 'A. L.', '',
'The Kurchatov Institute, Moscow, Russia'], dtype=object)] |
19,677 | cond-mat/0301024 | Filip Ronning | F. Ronning, T. Sasagawa, Y. Kohsaka, K.M. Shen, A. Damascelli, C. Kim,
T. Yoshida, N.P. Armitage, D.H. Lu, D.L. Feng, L.L. Miller, H. Takagi, Z.-X.
Shen | Evolution of a Metal to Insulator Transition in
Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$, as seen by ARPES | 10 pages, 12 figures, accepted by PRB; a high quality pdf is
available at
http://helios.physics.utoronto.ca/~fronning/RonningNaCCOCResub.pdf (2.2MB) | null | 10.1103/PhysRevB.67.165101 | null | cond-mat.str-el cond-mat.supr-con | null | We present angle resolved photoemission (ARPES) data on Na-doped
Ca$_2$CuO$_2$Cl$_2$. We demonstrate that the chemical potential shifts upon
doping the system across the insulator to metal transition. The resulting low
energy spectra reveal a gap structure which appears to deviate from the
canonical $d_{x2-y2} ~ |cos(k_x a)-cos(k_y a)|$ form. To reconcile the measured
gap structure with d-wave superconductivity one can understand the data in
terms of two gaps, a very small one contributing to the nodal region and a very
large one dominating the anti-nodal region. The latter is a result of the
electronic structure observed in the undoped antiferromagnetic insulator.
Furthermore, the low energy electronic structure of the metallic sample
contains a two component structure in the nodal direction, and a change in
velocity of the dispersion in the nodal direction at roughly 50 meV. We discuss
these results in connection with photoemission data on other cuprate systems.
| [{'version': 'v1', 'created': 'Fri, 3 Jan 2003 15:56:57 GMT'}] | 2009-11-10 | [array(['Ronning', 'F.', ''], dtype=object)
array(['Sasagawa', 'T.', ''], dtype=object)
array(['Kohsaka', 'Y.', ''], dtype=object)
array(['Shen', 'K. M.', ''], dtype=object)
array(['Damascelli', 'A.', ''], dtype=object)
array(['Kim', 'C.', ''], dtype=object)
array(['Yoshida', 'T.', ''], dtype=object)
array(['Armitage', 'N. P.', ''], dtype=object)
array(['Lu', 'D. H.', ''], dtype=object)
array(['Feng', 'D. L.', ''], dtype=object)
array(['Miller', 'L. L.', ''], dtype=object)
array(['Takagi', 'H.', ''], dtype=object)
array(['Shen', 'Z. -X.', ''], dtype=object)] |
19,678 | 1212.2118 | Jochen G\"artner | Jochen G\"artner | Higher Massey products in the cohomology of mild pro-p-groups | null | null | null | null | math.NT math.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Translating results due to J. Labute into group cohomological language, A.
Schmidt proved that a finitely presented pro-p-group G is mild and hence of
cohomological dimension cd G=2 if $H^1(G,\F_p)=U\oplus V$ as $\F_p$-vector
space and the cup-product $H^1(G,\F_p)\otimes H^1(G,\F_p)\to H^2(G,\F_p)$ maps
$U\otimes V$ surjectively onto $H^2(G,\F_p)$ and is identically zero on
$V\otimes V$. This has led to important results in the study of p-extensions of
number fields with restricted ramification, in particular in the case of tame
ramification. In this paper, we extend Labute's theory of mild pro-p-groups
with respect to weighted Zassenhaus filtrations and prove a generalization of
the above result for higher Massey products which allows to construct mild
pro-p-groups with defining relations of arbitrary degree. We apply these
results for one-relator pro-p-groups and obtain some new evidence of an open
question due to Serre.
| [{'version': 'v1', 'created': 'Mon, 10 Dec 2012 16:24:43 GMT'}] | 2012-12-11 | [array(['Gärtner', 'Jochen', ''], dtype=object)] |
19,679 | 2107.04654 | Elizabeth Munch | Rehab Alharbi and Erin Wolf Chambers and Elizabeth Munch | Realizable piecewise linear paths of persistence diagrams with Reeb
graphs | null | null | null | null | cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Reeb graphs are widely used in a range of fields for the purposes of
analyzing and comparing complex spaces via a simpler combinatorial object.
Further, they are closely related to extended persistence diagrams, which
largely but not completely encode the information of the Reeb graph. In this
paper, we investigate the effect on the persistence diagram of a particular
continuous operation on Reeb graphs; namely the (truncated) smoothing
operation. This construction arises in the context of the Reeb graph
interleaving distance, but separately from that viewpoint provides a
simplification of the Reeb graph which continuously shrinks small loops. We
then use this characterization to initiate the study of inverse problems for
Reeb graphs using smoothing by showing which paths in persistence diagram space
(commonly known as vineyards) can be realized by a path in the space of Reeb
graphs via these simple operations. This allows us to solve the inverse problem
on a certain family of piecewise linear vineyards when fixing an initial Reeb
graph.
| [{'version': 'v1', 'created': 'Fri, 9 Jul 2021 19:56:55 GMT'}] | 2021-07-13 | [array(['Alharbi', 'Rehab', ''], dtype=object)
array(['Chambers', 'Erin Wolf', ''], dtype=object)
array(['Munch', 'Elizabeth', ''], dtype=object)] |
19,680 | 1806.01007 | Mingchu Gao | Mingchu Gao | Compound Bi-free Poisson Distributions | This is the final version of the paper, will be published in IDA-QP | null | null | null | math.OA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study compound bi-free Poisson distributions for {\sl
two-faced families of random variables}. We prove a Poisson limit theorem for
compound bi-free Poisson distributions. Furthermore, a bi-free infinitely
divisible distribution for a two-faced family of self-adjoint random variables
can be realized as the limit of a sequence of compound bi-free Poisson
distributions of two-faced families of self-adjoint random variables. If a
compound bi-free Poisson distribution is determined by a positive number and
the distribution of a two faced family of finitely many random variables, which
has an almost sure random matrix model, and the left random variables commute
with the right random variables in the two-faced family, then we can construct
a random bi-matrix model for the compound bi-free Poisson distribution. If a
compound bi-free Poisson distribution is determined by a positive number and
the distribution of a commutative pair of random variables, we can construct an
asymptotic bi-matrix model with entries of creation and annihilation operators
for the compound bi-free Poisson distribution.
| [{'version': 'v1', 'created': 'Mon, 4 Jun 2018 08:39:41 GMT'}
{'version': 'v2', 'created': 'Thu, 9 May 2019 07:05:43 GMT'}] | 2019-05-10 | [array(['Gao', 'Mingchu', ''], dtype=object)] |
19,681 | hep-ph/0603126 | Cheuk-Yin Wong | Horace W. Crater (UTSI, TN), Cheuk-Yin Wong (ORNL & UT, TN), and Peter
Van Alstine (Moorpark, CA) | Tests of Two-Body Dirac Equation Wave Functions in the Decays of
Quarkonium and Positronium into Two Photons | 79 pages, included new sections on covariant scalar product and added
pages on positronium decay for 3P0 and 3P_2 states | Phys.Rev.D74:054028,2006 | 10.1103/PhysRevD.74.054028 | null | hep-ph nucl-th | null | Two-Body Dirac equations of constraint dynamics provide a covariant framework
to investigate the problem of highly relativistic quarks in meson bound states.
This formalism eliminates automatically the problems of relative time and
energy, leading to a covariant three dimensional formalism with the same number
of degrees of freedom as appears in the corresponding nonrelativistic problem.
It provides bound state wave equations with the simplicity of the
nonrelativistic Schroedinger equation. Here we begin important tests of the
relativistic sixteen component wave function solutions obtained in a recent
work on meson spectroscopy, extending a method developed previously for
positronium decay into two photons. Preliminary to this we examine the
positronium decay in the 3P_{0,2} states as well as the 1S_0. The two-gamma
quarkonium decays that we investigate are for the \eta_{c}, \eta_{c}^{\prime},
\chi_{c0}, \chi_{c2}, \pi^{0}, \pi_{2}, a_{2}, and f_{2}^{\prime} mesons. Our
results for the four charmonium states compare well with those from other quark
models and show the particular importance of including all components of the
wave function as well as strong and CM energy dependent potential effects on
the norm and amplitude. The results for the \pi^{0}, although off the
experimental rate by 15%, is much closer than the usual expectations from a
potential model. We conclude that the Two-Body Dirac equations lead to wave
functions which provide good descriptions of the two-gamma decay amplitude and
can be used with some confidence for other purposes.
| [{'version': 'v1', 'created': 'Thu, 16 Mar 2006 19:42:05 GMT'}
{'version': 'v2', 'created': 'Wed, 22 Mar 2006 20:03:26 GMT'}
{'version': 'v3', 'created': 'Tue, 25 Jul 2006 18:25:35 GMT'}] | 2011-07-19 | [array(['Crater', 'Horace W.', '', 'UTSI, TN'], dtype=object)
array(['Wong', 'Cheuk-Yin', '', 'ORNL & UT, TN'], dtype=object)
array(['Van Alstine', 'Peter', '', 'Moorpark, CA'], dtype=object)] |
19,682 | 1912.05607 | Christian Ast | Haonan Huang, Robert Drost, Jacob Senkpiel, Ciprian Padurariu, Bj\"orn
Kubala, Alfredo Levy Yeyati, Juan Carlos Cuevas, Joachim Ankerhold, Klaus
Kern, Christian R. Ast | Magnetic Impurities on Superconducting Surfaces: Phase Transitions and
the Role of Impurity-Substrate Hybridization | 12 pages, 7 figures, including supplementary material | Communications Physics 3, 199 (2020) | 10.1038/s42005-020-00469-0 | null | cond-mat.supr-con cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spin-dependent scattering from magnetic impurities inside a superconductor
gives rise to Yu-Shiba-Rusinov (YSR) states within the superconducting gap. As
such, YSR states have been very successfully modeled with an effective
scattering potential (Kondo impurity model). Using a scanning tunneling
microscope, we exploit the proximity of the tip to a surface impurity and its
influence on the YSR state to make a quantitative connection between the YSR
state energy and the impurity-substrate hybridization. We corroborate the
coupling between impurity and substrate as a key energy scale for surface
derived YSR states using the Anderson impurity model in the mean field
approximation, which accurately explains our observations. The model allows to
decide on which side of the quantum phase transition the system resides based
on additional conductance measurements. We propose that the Anderson impurity
model is much more appropriate to describe YSR states from impurities on a
superconducting surface than the Kondo impurity model, which is more
appropriate for impurities inside a superconductor. We thus provide a first
step towards a more quantitative comparison of experimental data with fully
correlated calculations based on the Anderson impurity model.
| [{'version': 'v1', 'created': 'Wed, 11 Dec 2019 20:26:52 GMT'}] | 2020-11-12 | [array(['Huang', 'Haonan', ''], dtype=object)
array(['Drost', 'Robert', ''], dtype=object)
array(['Senkpiel', 'Jacob', ''], dtype=object)
array(['Padurariu', 'Ciprian', ''], dtype=object)
array(['Kubala', 'Björn', ''], dtype=object)
array(['Yeyati', 'Alfredo Levy', ''], dtype=object)
array(['Cuevas', 'Juan Carlos', ''], dtype=object)
array(['Ankerhold', 'Joachim', ''], dtype=object)
array(['Kern', 'Klaus', ''], dtype=object)
array(['Ast', 'Christian R.', ''], dtype=object)] |
19,683 | physics/9906039 | null | Sohrab Rahvar | Water temperature constraint on Sonoluminescence | 8 pages, One ps figure, Submitted to Phys. Lett.A | null | null | null | physics.plasm-ph | null | It is proposed that shock wave dynamics within the gas of a small bubble
explain sonoluminescence, the emission of visible radiation. As the bubble
radius oscillates, shock waves develop from spherical sound waves created
inside the gas bubble. As any such shock propagates toward the center, it
strengthens and, upon convergence and subsequent reflection, temperature of gas
inside bubble increases dramatically in such a way that it can produce plasma.
Since main radiation product in exploding epoch, nonadiabatic condition for
imploding shock wave cool plasma and cause exploding shock wave can not
sufficiently rise temperature to produce radiation. In this work we compare
cooling time for plasma by bermsstrahlung radiation with collapsing time for
the imploding shock wave . We find a constraint on radius of bubble with
respect to temperature of water. This constraint condition explains
experimental results as to, why the cold water is fine for SL.
| [{'version': 'v1', 'created': 'Tue, 22 Jun 1999 10:32:07 GMT'}] | 2007-05-23 | [array(['Rahvar', 'Sohrab', ''], dtype=object)] |
19,684 | hep-th/0206105 | David Kastor | David Kastor and Jennie Traschen | A Positive Energy Theorem for Asymptotically deSitter Spacetimes | 25 pages, 1 figure | Class.Quant.Grav. 19 (2002) 5901-5920 | 10.1088/0264-9381/19/23/302 | null | hep-th | null | We construct a set of conserved charges for asymptotically deSitter
spacetimes that correspond to asymptotic conformal isometries. The charges are
given by boundary integrals at spatial infinity in the flat cosmological
slicing of deSitter. Using a spinor construction, we show that the charge
associated with conformal time translations is necessarilly positive and hence
may provide a useful definition of energy for these spacetimes. A similar
spinor construction shows that the charge associated with the time translation
Killing vector of deSitter in static coordinates has both positive and negative
definite contributions. For Schwarzshild-deSitter the conformal energy we
define is given by the mass parameter times the cosmological scale factor. The
time dependence of the charge is a consequence of a non-zero flux of the
corresponding conserved current at spatial infinity. For small perturbations of
deSitter, the charge is given by the total comoving mass density.
| [{'version': 'v1', 'created': 'Wed, 12 Jun 2002 15:27:22 GMT'}] | 2009-11-07 | [array(['Kastor', 'David', ''], dtype=object)
array(['Traschen', 'Jennie', ''], dtype=object)] |
19,685 | 2009.02216 | Noa Fish | Noa Fish, Lilach Perry, Amit Bermano, Daniel Cohen-Or | SketchPatch: Sketch Stylization via Seamless Patch-level Synthesis | SIGGRAPH Asia 2020 | null | 10.1145/3414685.3417816 | null | cs.GR cs.CV cs.LG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paradigm of image-to-image translation is leveraged for the benefit of
sketch stylization via transfer of geometric textural details. Lacking the
necessary volumes of data for standard training of translation systems, we
advocate for operation at the patch level, where a handful of stylized sketches
provide ample mining potential for patches featuring basic geometric
primitives. Operating at the patch level necessitates special consideration of
full sketch translation, as individual translation of patches with no regard to
neighbors is likely to produce visible seams and artifacts at patch borders.
Aligned pairs of styled and plain primitives are combined to form input hybrids
containing styled elements around the border and plain elements within, and
given as input to a seamless translation (ST) generator, whose output patches
are expected to reconstruct the fully styled patch. An adversarial addition
promotes generalization and robustness to diverse geometries at inference time,
forming a simple and effective system for arbitrary sketch stylization, as
demonstrated upon a variety of styles and sketches.
| [{'version': 'v1', 'created': 'Fri, 4 Sep 2020 14:20:46 GMT'}] | 2020-09-07 | [array(['Fish', 'Noa', ''], dtype=object)
array(['Perry', 'Lilach', ''], dtype=object)
array(['Bermano', 'Amit', ''], dtype=object)
array(['Cohen-Or', 'Daniel', ''], dtype=object)] |
19,686 | 0806.1744 | Enrique del Barco | J. J. Gonzalez-Pons, J. J. Henderson, E. del Barco and B. Ozyilmaz | Geometrical control of the magnetization direction in high aspect-ratio
PdNi ferromagnetic nano-electrodes | Preprint submitted to PRB (14 pages, 4 figures) | null | 10.1103/PhysRevB.78.012408 | null | cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a study of electron-beam evaporated Pd0.4Ni0.6 alloy thin films by
means of ferromagnetic resonance measurements on extended films of varying
thickness and anisotropic magnetoresistance measurements of lithographically
patterned high aspect-ratio ferromagnetic electrodes, respectively. The results
reveal that the direction of the magnetization strongly depends on the
electrode lateral dimensions, transitioning from in-plane magnetization for
extended films to out-of-the-plane magnetization for electrode widths below 2-3
microns, reaching 58 degrees off-plane for 100 nm-wide nanoelectrodes.
| [{'version': 'v1', 'created': 'Tue, 10 Jun 2008 20:10:50 GMT'}] | 2009-11-13 | [array(['Gonzalez-Pons', 'J. J.', ''], dtype=object)
array(['Henderson', 'J. J.', ''], dtype=object)
array(['del Barco', 'E.', ''], dtype=object)
array(['Ozyilmaz', 'B.', ''], dtype=object)] |
19,687 | 1605.00974 | Marc Josien | Xavier Blanc and Marc Josien | From the Newton equation to the wave equation : the case of shock waves | null | null | null | null | math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the macroscopic limit of a chain of atoms governed by the Newton
equation. It is known from the work of Blanc, Le Bris, Lions, that this limit
is the solution of a nonlinear wave equation, as long as this solution remains
smooth. We show, numerically and mathematically that, if the distances between
particles remain bounded, it is not the case any more when there are shocks -at
least for a convex nearest-neighbour interaction potential with convex
derivative.
| [{'version': 'v1', 'created': 'Tue, 3 May 2016 16:39:03 GMT'}] | 2016-05-04 | [array(['Blanc', 'Xavier', ''], dtype=object)
array(['Josien', 'Marc', ''], dtype=object)] |
19,688 | 2209.10734 | Nan Yang | Nan Yang, Xin Luan, Huidi Jia, Zhi Han and Yandong Tang | CCR: Facial Image Editing with Continuity, Consistency and Reversibility | 10 pages, 11 figures | null | null | null | cs.CV cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Three problems exist in sequential facial image editing: incontinuous
editing, inconsistent editing, and irreversible editing. Incontinuous editing
is that the current editing can not retain the previously edited attributes.
Inconsistent editing is that swapping the attribute editing orders can not
yield the same results. Irreversible editing means that operating on a facial
image is irreversible, especially in sequential facial image editing. In this
work, we put forward three concepts and corresponding definitions: editing
continuity, consistency, and reversibility. Then, we propose a novel model to
achieve the goal of editing continuity, consistency, and reversibility. A
sufficient criterion is defined to determine whether a model is continuous,
consistent, and reversible. Extensive qualitative and quantitative experimental
results validate our proposed model and show that a continuous, consistent and
reversible editing model has a more flexible editing function while preserving
facial identity. Furthermore, we think that our proposed definitions and model
will have wide and promising applications in multimedia processing. Code and
data are available at https://github.com/mickoluan/CCR.
| [{'version': 'v1', 'created': 'Thu, 22 Sep 2022 02:10:42 GMT'}] | 2022-09-23 | [array(['Yang', 'Nan', ''], dtype=object)
array(['Luan', 'Xin', ''], dtype=object)
array(['Jia', 'Huidi', ''], dtype=object)
array(['Han', 'Zhi', ''], dtype=object)
array(['Tang', 'Yandong', ''], dtype=object)] |
19,689 | 2103.14443 | Damai Dai | Damai Dai, Hua Zheng, Zhifang Sui, Baobao Chang | Incorporating Connections Beyond Knowledge Embeddings: A Plug-and-Play
Module to Enhance Commonsense Reasoning in Machine Reading Comprehension | null | null | null | null | cs.CL cs.AI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Conventional Machine Reading Comprehension (MRC) has been well-addressed by
pattern matching, but the ability of commonsense reasoning remains a gap
between humans and machines. Previous methods tackle this problem by enriching
word representations via pre-trained Knowledge Graph Embeddings (KGE). However,
they make limited use of a large number of connections between nodes in
Knowledge Graphs (KG), which could be pivotal cues to build the commonsense
reasoning chains. In this paper, we propose a Plug-and-play module to
IncorporatE Connection information for commonsEnse Reasoning (PIECER). Beyond
enriching word representations with knowledge embeddings, PIECER constructs a
joint query-passage graph to explicitly guide commonsense reasoning by the
knowledge-oriented connections between words. Further, PIECER has high
generalizability since it can be plugged into suitable positions in any MRC
model. Experimental results on ReCoRD, a large-scale public MRC dataset
requiring commonsense reasoning, show that PIECER introduces stable performance
improvements for four representative base MRC models, especially in
low-resource settings.
| [{'version': 'v1', 'created': 'Fri, 26 Mar 2021 12:55:19 GMT'}] | 2021-03-29 | [array(['Dai', 'Damai', ''], dtype=object)
array(['Zheng', 'Hua', ''], dtype=object)
array(['Sui', 'Zhifang', ''], dtype=object)
array(['Chang', 'Baobao', ''], dtype=object)] |
19,690 | 1203.3551 | Brian Fields | Brian D. Fields | The Primordial Lithium Problem | 29 pages, 7 figures. Per Annual Reviews policy, this is the original
submitted draft. Posted with permission from the Annual Review of Nuclear and
Particle Science, Volume 61. Annual Reviews, http://www.annualreviews.org .
Final published version at
http://www.annualreviews.org/doi/abs/10.1146/annurev-nucl-102010-130445 | Annual Review of Nuclear and Particle Science, 61, 47-68 (2011) | 10.1146/annurev-nucl-102010-130445 | null | astro-ph.CO hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Big-bang nucleosynthesis (BBN) theory, together with the precise WMAP cosmic
baryon density, makes tight predictions for the abundances of the lightest
elements. Deuterium and 4He measurements agree well with expectations, but 7Li
observations lie a factor 3-4 below the BBN+WMAP prediction. This 4-5\sigma\
mismatch constitutes the cosmic "lithium problem," with disparate solutions
possible. (1) Astrophysical systematics in the observations could exist but are
increasingly constrained. (2) Nuclear physics experiments provide a wealth of
well-measured cross-section data, but 7Be destruction could be enhanced by
unknown or poorly-measured resonances, such as 7Be + 3He -> 10C^* -> p + 9B.
(3) Physics beyond the Standard Model can alter the 7Li abundance, though D and
4He must remain unperturbed; we discuss such scenarios, highlighting decaying
Supersymmetric particles and time-varying fundamental constants. Present and
planned experiments could reveal which (if any) of these is the solution to the
problem.
| [{'version': 'v1', 'created': 'Thu, 15 Mar 2012 20:02:49 GMT'}] | 2012-03-19 | [array(['Fields', 'Brian D.', ''], dtype=object)] |
19,691 | astro-ph/0103437 | Xin-Bing Huang | Zhe Chang, Xin-Bing Huang | Matching the observed cosmological constant with vacuum energy density
in AdS | 9 pages, no figures, Latex | Phys.Lett. A297 (2002) 320-327 | 10.1016/S0375-9601(02)00387-0 | null | astro-ph | null | We calculate the vacuum energy density by taking account of different massive
scalar fields in AdS spacetime. It is found that the mass spectrum of a scalar
field in AdS spacetime is discrete because of a natural boundary condition. The
results match well with the observed cosmological constant.
| [{'version': 'v1', 'created': 'Tue, 27 Mar 2001 04:10:09 GMT'}
{'version': 'v2', 'created': 'Mon, 24 Dec 2001 12:22:05 GMT'}
{'version': 'v3', 'created': 'Thu, 21 Mar 2002 06:43:06 GMT'}] | 2009-11-06 | [array(['Chang', 'Zhe', ''], dtype=object)
array(['Huang', 'Xin-Bing', ''], dtype=object)] |
19,692 | 1311.5869 | Nidal Chamoun | E. I. Lashin (Ain Shams U., Cairo & Zewail City Sci. Technol., Giza &
ICTP, Trieste), N. Chamoun (HIAST & Bonn U.), C. Hamzaoui (Quebec U.,
Montreal) and S. Nasri (United Arab Emirates U. & ES-SENIA U., Oran) | Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry | Latex, 43 pages, 12 figures, 5 tables. Concrete realizations of the
perturbed textures in the context of type I and type II seesaw mechanisms are
given. Version to appear in PRD | null | 10.1103/PhysRevD.89.093004 | null | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the viability of the $\mu$--$\tau$ interchange symmetry imposed on
the neutrino mass matrix in the flavor space. Whereas the exact symmetry is
shown to lead to textures of completely degenerate spectrum which is
incompatible with the neutrino oscillation data, introducing small
perturbations into the preceding textures, inserted in a minimal way, lead
however to four deformed textures representing an approximate $\mu$--$\tau$
symmetry. We motivate the form of these `minimal' textures, which disentangle
the effects of the perturbations, and present some concrete realizations
assuming exact $\mu$--$\tau$ at the Lagrangian level but at the expense of
adding new symmetries and matter fields.
We find that all these deformed textures are capable to accommodate the
experimental data, and in all types of neutrino mass hierarchies, in particular
the non-vanishing value for the smallest mixing angle.
| [{'version': 'v1', 'created': 'Fri, 22 Nov 2013 20:20:53 GMT'}
{'version': 'v2', 'created': 'Wed, 16 Apr 2014 20:21:10 GMT'}] | 2015-06-18 | [array(['Lashin', 'E. I.', '',
'Ain Shams U., Cairo & Zewail City Sci. Technol., Giza &\n ICTP, Trieste'],
dtype=object)
array(['Chamoun', 'N.', '', 'HIAST & Bonn U.'], dtype=object)
array(['Hamzaoui', 'C.', '', 'Quebec U.,\n Montreal'], dtype=object)
array(['Nasri', 'S.', '', 'United Arab Emirates U. & ES-SENIA U., Oran'],
dtype=object) ] |
19,693 | 0807.0523 | Eric Plum | E. Plum, V. A. Fedotov and N. I. Zheludev | Optical Activity of Planar Achiral Metamaterials | 5 pages, 5 figures | Phys. Rev. Lett., vol. 102, page 113902 (2009) | 10.1063/1.3021082 | null | physics.optics | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report that the classical phenomena of optical activity and circular
dichroism, which are traditionally associated with chirality (helicity) of
organic molecules, proteins and inorganic structures, can be observed in
non-chiral artificial media. Intriguingly, our metamaterial structure yields
exceptionally strong resonant optical activity, which also leads to the
appearance of a backward wave, a characteristic sign of negative-index media.
| [{'version': 'v1', 'created': 'Thu, 3 Jul 2008 11:25:08 GMT'}] | 2009-11-13 | [array(['Plum', 'E.', ''], dtype=object)
array(['Fedotov', 'V. A.', ''], dtype=object)
array(['Zheludev', 'N. I.', ''], dtype=object)] |
19,694 | hep-th/9707076 | null | Wang-Chang Su | A Comment on Duality in SUSY SU(N) Gauge Theory with a Symmetric Tensor | 12 pages, LaTex, 1 figure | null | null | null | hep-th | null | We suggest an alternative approach to deconfine N =1 SU(N) supersymmetric
gauge theory with a symmetric tensor, fundamentals, anti-fundamentals, and no
superpotential. It is found that although the dual prescription derived by this
new method of deconfinement is different from that by the original method, both
dual prescriptions are connected by duality transformations. By deforming the
theory, it is shown that both dual theories flow properly so that the Seiberg's
duality is preserved.
| [{'version': 'v1', 'created': 'Tue, 8 Jul 1997 13:30:47 GMT'}] | 2007-05-23 | [array(['Su', 'Wang-Chang', ''], dtype=object)] |
19,695 | 1211.5188 | Alexander Kheyfits | Alexander Kheyfits | A Representation of the Associated Legendre Functions of the First Kind
on the Cut as the Mellin Transformation of the Riesz Kernel | 6 pages | null | null | null | math.CV math.CA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A Mellin transform representation is derived for the associated Legendre
functions of the first kind on the cut
| [{'version': 'v1', 'created': 'Thu, 22 Nov 2012 02:24:58 GMT'}] | 2012-11-26 | [array(['Kheyfits', 'Alexander', ''], dtype=object)] |
19,696 | 2102.04111 | Yong-Kum Cho | Yong-Kum Cho, Seok-Young Chung | The Newton Polyhedron and positivity of ${}_2F_3$ hypergeometric
functions | The paper is accepted to <Constructive Approximation> | Constructive Approximation, 2021 | null | null | math.CA | http://creativecommons.org/licenses/by/4.0/ | As for the ${}_2F_3$ hypergeometric function of the form \begin{equation*}
{}_2F_3\left[\begin{array}{c} a_1, a_2\\ b_1, b_2, b_3\end{array}\biggr|
-x^2\right]\qquad(x>0), \end{equation*} where all of parameters are assumed to
be positive, we give sufficient conditions on $(b_1, b_2, b_3)$ for its
positivity in terms of Newton polyhedra with vertices consisting of
permutations of $\,(a_2, a_1+1/2, 2a_1)\,$ or $\,(a_1, a_2+1/2, 2a_2).$ As an
application, we obtain an extensive validity region of $(\alpha, \lambda, \mu)$
for the inequality \begin{equation*} \int_0^x (x-t)^{\lambda}\, t^{\mu}
J_\alpha(t)\, dt \ge 0\qquad(x>0). \end{equation*}
| [{'version': 'v1', 'created': 'Mon, 8 Feb 2021 10:27:21 GMT'}] | 2021-02-09 | [array(['Cho', 'Yong-Kum', ''], dtype=object)
array(['Chung', 'Seok-Young', ''], dtype=object)] |
19,697 | 2209.02614 | Ambroise Lafont | Andr\'e, Hirschowitz, Tom Hirschowitz, Ambroise Lafont and Marco
Maggesi | Variable binding and substitution for (nameless) dummies | Extended abstract (FoSSaCS 2022) | null | null | null | cs.LO | http://creativecommons.org/licenses/by/4.0/ | By abstracting over well-known properties of De Bruijn's representation with
nameless dummies, we design a new theory of syntax with variable binding and
capture-avoiding substitution. We propose it as a simpler alternative to Fiore,
Plotkin, and Turi's approach, with which we establish a strong formal link. We
also show that our theory easily incorporates simple types and equations
between terms.
| [{'version': 'v1', 'created': 'Tue, 6 Sep 2022 16:07:28 GMT'}] | 2022-09-07 | [array(['André', '', ''], dtype=object)
array(['Hirschowitz', '', ''], dtype=object)
array(['Hirschowitz', 'Tom', ''], dtype=object)
array(['Lafont', 'Ambroise', ''], dtype=object)
array(['Maggesi', 'Marco', ''], dtype=object)] |
19,698 | 2105.08079 | Leonhard Kehrberger | Leonhard M. A. Kehrberger | The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples | 97 pages, 11 figures | Ann. Henri Poincar\'e, 2021 | 10.1007/s00023-021-01108-2 | null | gr-qc hep-th math-ph math.AP math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper initiates a series of works dedicated to the rigorous study of the
precise structure of gravitational radiation near infinity. We begin with a
brief review of an argument due to Christodoulou [1] stating that Penrose's
proposal of smooth conformal compactification of spacetime (or smooth null
infinity) fails to accurately capture the structure of gravitational radiation
emitted by $N$ infalling masses coming from past timelike infinity $i^-$.
Modelling gravitational radiation by scalar radiation, we then take a first
step towards a rigorous, fully general relativistic understanding of the
non-smoothness of null infinity by constructing solutions to the spherically
symmetric Einstein-Scalar field equations. Our constructions are motivated by
Christodoulou's argument: They arise dynamically from polynomially decaying
boundary data, $r\phi\sim t^{-1}$ as $t\to-\infty$, on a timelike hypersurface
(to be thought of as the surface of a star) and the no incoming radiation
condition, $r\partial_v\phi=0$, on past null infinity $\mathcal{I}^-$. We show
that if the initial Hawking mass at $i^-$ is non-zero, then, in accordance with
the non-smoothness of $\mathcal I^+$, $\partial_v(r\phi)$ satisfies the
following asymptotic expansion near $\mathcal{I}^+$ for some constant $C\neq
0$: $\partial_v(r\phi)=Cr^{-3}\log r+\mathcal O(r^{-3})$. We also show that the
same logarithmic terms appear in the linear theory, i.e. when considering the
spherically symmetric linear wave equation on a fixed Schwarzschild background.
As a corollary, we can apply our results to the scattering problem on
Schwarzschild: Putting smooth, compactly supported scattering data for the wave
equation on $\mathcal I^-$ and on $\mathcal H^-$, we find that the asymptotic
expansion of $\partial_v(r\phi)$ near $\mathcal I^+$ generically contains
logarithmic terms at second order, i.e. at order $r^{-4}\log r$.
| [{'version': 'v1', 'created': 'Mon, 17 May 2021 18:00:08 GMT'}
{'version': 'v2', 'created': 'Fri, 9 Jul 2021 15:49:13 GMT'}] | 2021-10-01 | [array(['Kehrberger', 'Leonhard M. A.', ''], dtype=object)] |
19,699 | 2003.05973 | Vanessa Sochat | Vanessa Sochat | AskCI Server: Collaborative and version controlled knowledge base | 10 pages, 2 figures | null | null | null | cs.SE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | AskCI server is a collaborative, open source documentation server that uses
GitHub for automation and version control of shared knowledge. A programmatic
application programming interface, friendly user interface, and organization of
concepts into questions makes it versatile as a support or collaborative
knowledge base.
| [{'version': 'v1', 'created': 'Thu, 12 Mar 2020 18:45:25 GMT'}] | 2020-03-16 | [array(['Sochat', 'Vanessa', ''], dtype=object)] |
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