Date: Thu, 27 Jun 19 00:31:05 GMT
Subject: math-ph daily 4 new + 18 crosses received   by eprepget 

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arXiv:1906.10800
Date: Wed, 26 Jun 2019 01:12:29 GMT   (25kb)

Title: Localization and IDS Regularity in the Disordered Hubbard Model within
  Hartree-Fock Theory
Authors: Rodrigo Matos and Jeffrey Schenker
Categories: math-ph math.MP
Comments: 23 pages
\\
  Using the fractional moment method it is shown that, within the Hartree-Fock
approximation for the Disordered Hubbard Hamiltonian, weakly interacting
Fermions at positive temperature exhibit localization, suitably defined as
exponential decay of eigenfunction correlators. Our result holds in any
dimension in the regime of large disorder and at any disorder in the one
dimensional case. As a consequence of our methods, we are able to show H\"older
continuity of the integrated density of states with respect to energy, disorder
and interaction using known techniques.
\\ ( https://arxiv.org/abs/1906.10800 ,  25kb)
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arXiv:1906.11069
Date: Wed, 26 Jun 2019 13:06:45 GMT   (172kb,D)

Title: Nonlinear Quantum Adiabatic Approximation
Authors: Clotilde Fermanian Kammerer (LAMA), Alain Joye (IF)
Categories: math-ph math.AP math.FA math.MP
\\
  This paper is devoted to a generalisation of the quantum adiabatic theorem to
a nonlinear setting. We consider a Hamiltonian operator which depends on the
time variable and on a finite number of parameters, defined on a separable
Hilbert space with a fixed basis. The right hand side of the nonlinear
evolution equation we study is given by the action of the Hamiltonian on the
unknown vector, with its parameters replaced by the moduli of the first
coordinates of the vector. We prove existence of solutions to this equation and
consider their asymptotics in the adiabatic regime, i..e. when the Hamiltonian
is slowly varying in time. Under natural spectral hypotheses, we prove the
existence of instantaneous nonlinear eigenvectors for the Hamiltonian, and show
the existence of solutions which remain close to these time-dependent nonlinear
eigenvectors, up to a rapidly oscillating phase, in the adiabatic regime. We
first investigate the case of bounded operators and then exhibit a set of
spectral assumptions under which the result extends to unbounded Hamiltonians.
\\ ( https://arxiv.org/abs/1906.11069 ,  172kb)
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arXiv:1906.11079
Date: Tue, 25 Jun 2019 07:18:02 GMT   (43kb)

Title: Large gap asymptotics for the generating function of the sine point
  process
Authors: Christophe Charlier
Categories: math-ph math.MP
Comments: 49 pages, 7 figures. arXiv admin note: substantial text overlap with
  arXiv:1812.02188
\\
  We consider the generating function of the sine point process on $m$
consecutive intervals. It can be written as a Fredholm determinant with
discontinuities, or equivalently as the convergent series \begin{equation*}
\sum_{k_{1},...,k_{m} \geq 0} \mathbb{P}\Bigg(\bigcap_{j=1}^{m}
\#\{\mbox{points in j-th interval}\}=k_{j}\Bigg)\prod_{j=1}^{m} s_{j}^{k_{j}},
\end{equation*} where $s_{1},\ldots,s_{m} \in [0,1]$. In particular, we can
deduce from it joint probabilities of the counting function of the process. In
this work, we obtain large gap asymptotics for the generating function, which
are asymptotics as the size of the intervals grows. Our results are valid for
an arbitrary integer $m$, in the cases where all the parameters
$s_{1},\ldots,s_{m}$, except possibly one, are positive. This generalizes two
known results: 1) a result of Basor and Widom, which corresponds to $m=1$ and
$s_{1}>0$, and 2) the case $m=1$ and $s_{1} = 0$ for which many authors have
contributed. We also present some applications in the context of thinning and
conditioning of the sine process.
\\ ( https://arxiv.org/abs/1906.11079 ,  43kb)
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arXiv:1906.11120
Date: Wed, 26 Jun 2019 14:25:44 GMT   (84kb,D)

Title: Gaussian random permutation and the boson point process
Authors: In\'es Armend\'ariz and Pablo A. Ferrari and Sergio Yuhjtman
Categories: math-ph math.MP math.PR
Comments: 32 pages, 7 figures
MSC-class: 82B10, 82B21, 82B26, 60G55, 60G50, 60K35
\\
  We construct an infinite volume spatial random permutation $(\chi,\sigma)$,
where $\chi\subset\mathbb R^d$ is a point process and $\sigma:\chi\to \chi$ is
a permutation (bijection), associated to the formal Hamiltonian $
H(\chi,\sigma) = \sum_{x\in \chi} \|x-\sigma(x)\|^2$. The measures are
parametrized by the density $\rho$ of points and the temperature $\alpha$. Each
finite cycle of $\sigma$ induces a loop of points of~$\chi$. Spatial random
permutations are naturally related to boson systems through a representation
originally due to Feynman 1953. Bose-Einstein condensation occurs for dimension
$d\ge 3$ and above a critical density $\rho_c=\rho_c(\alpha)$. For $\rho\le
\rho_c$ we define $(\chi,\sigma)$ as a Poisson process of finite unrooted loops
that we call Gaussian loop soup after the Brownian loop soup of Lawler and
Werner 2004. We also construct the Gaussian random interlacements, a Poisson
process of trajectories of random walks with Gaussian increments analogous to
the Brownian random interlacements introduced by Sznitman 2010. For $d\ge 3$
and $\rho>\rho_c$ we define $(\chi,\sigma)$ as the superposition of independent
realizations of the Gaussian loop soup at density $\rho_c$ and the Gaussian
random interlacements at density $\rho-\rho_c$. In either case, we call the
resulting $(\chi,\sigma)$ a Gaussian random permutation at density $\rho$ and
temperature $\alpha$, and show that its $\chi$-marginal has the same
distribution as the boson point process introduced by Macchi 1975 at the same
density and temperature. This implies in particular that when Bose-Einstein
condensation occurs the associated Gaussian random permutation exhibits
infinite trajectories.
\\ ( https://arxiv.org/abs/1906.11120 ,  84kb)
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arXiv:1906.09917 (*cross-listing*)
Date: Mon, 24 Jun 2019 13:01:10 GMT   (173kb,D)

Title: On $\mathrm{SQED}_{3}$ and $\mathrm{SQCD}_{3}$: phase transitions and
  integrability
Authors: Leonardo Santilli and Miguel Tierz
Categories: hep-th math-ph math.MP
Comments: 11 pages, 5 figures
\\
  We study supersymmetric Yang-Mills theories on the three-sphere, with massive
matter and Fayet-Iliopoulos parameter, showing second order phase transitions
for the non-Abelian theory, extending a previous result for the Abelian theory.
We study both partition functions and Wilson loops and also discuss the case of
different $R$-charges. Two interpretations of the partition function as
eigenfunctions of the $A_{1} $ and free $A_{N-1}$ hyperbolic Calogero-Moser
integrable model are given as well.
\\ ( https://arxiv.org/abs/1906.09917 ,  173kb)
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arXiv:1906.10688 (*cross-listing*)
Date: Tue, 25 Jun 2019 09:48:31 GMT   (586kb)

Title: Topologically protected edge modes in one-dimensional chains of
  subwavelength resonators
Authors: Habib Ammari, Bryn Davies, Erik Orvehed Hiltunen, Sanghyeon Yu
Categories: math.AP math-ph math.MP
Comments: 27 pages, 9 figures
MSC-class: 35J05, 35C20, 35P20
\\
  The goal of this paper is to advance the development of wave-guiding
subwavelength crystals by developing designs whose properties are stable with
respect to imperfections in their construction. In particular, we make use of a
locally resonant subwavelength structure, composed of a chain of high-contrast
resonators, to trap waves at deep subwavelength scales. We first study an
infinite chain of subwavelength resonator dimers and define topological
quantities that capture the structure's wave transmission properties. Using
this for guidance, we design a finite crystal that is shown to have wave
localization properties, at subwavelength scales, that are robust with respect
to random imperfections.
\\ ( https://arxiv.org/abs/1906.10688 ,  586kb)
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arXiv:1906.10700 (*cross-listing*)
Date: Tue, 25 Jun 2019 18:00:05 GMT   (587kb,D)

Title: Emergent unitarity from the amplituhedron
Authors: Akshay Yelleshpur Srikant
Categories: hep-th math-ph math.MP
\\
  We present a proof of perturbative unitarity for $\mathcal{N}=4$ SYM,
following from the geometry of the amplituhedron. This proof is valid for
amplitudes of arbitrary multiplicity $n$, loop order $L$ and MHV degree $k$.
\\ ( https://arxiv.org/abs/1906.10700 ,  587kb)
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arXiv:1906.10777 (*cross-listing*)
Date: Tue, 25 Jun 2019 22:48:14 GMT   (652kb,D)

Title: Construction of anti-de Sitter-like spacetimes using the metric
  conformal Einstein field equations: the tracefree matter case
Authors: Diego A. Carranza and Juan A. Valiente Kroon
Categories: gr-qc math-ph math.MP
Comments: 25 pages
\\
  Using a metric conformal formulation of the Einstein equations, we develop a
construction of 4-dimensional anti-de Sitter-like spacetimes coupled to
tracefree matter models. Our strategy relies on the formulation of an
initial-boundary problem for a system of quasilinear wave equations for various
conformal fields by exploiting the conformal and coordinate gauges. By
analysing the conformal constraints we show a systematic procedure to prescribe
initial and boundary data. This analysis is complemented by the propagation of
the constraints, showing that a solution to the wave equations implies a
solution to the Einstein field equations. In addition, we study three explicit
tracefree matter models: the conformally invariant scalar field, the Maxwell
field and the Yang-Mills field. For each one of these we identify the basic
data required to couple them to the system of wave equations. As our main
result, we establish the local existence and uniqueness of solutions for the
evolution system in a neighbourhood around the corner, provided compatibility
conditions for the initial and boundary data are imposed up to a certain order.
\\ ( https://arxiv.org/abs/1906.10777 ,  652kb)
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arXiv:1906.10789 (*cross-listing*)
Date: Wed, 26 Jun 2019 00:05:34 GMT   (121kb,D)

Title: On Poisson structures arising from a Lie group action
Authors: G. M. Beffa and E. L. Mansfield
Categories: math.DG math-ph math.MP
Comments: 37 pages, 6 figures
MSC-class: 70G65, 37J99
\\
  We investigate some infinite dimensional Lie algebras and their associated
Poisson structures which arise from a Lie group action on a manifold.
  If $G$ is a Lie group, $\g$ its Lie algebra and $M$ is a manifold on which
$G$ acts, then the set of smooth maps from $M$ to $\g$ has at least two Lie
algebra structures, both satisfying the required property to be a Lie
algebroid. We may then apply a {construction} by Marle to obtain a Poisson
bracket on the set of smooth real or complex valued functions on $M\times
\g^*$. In this paper, we investigate these Poisson brackets. We show that the
set of examples include the standard Darboux symplectic structure and the
classical Lie Poisson brackets, but is a strictly larger class of Poisson
brackets than these. Our study includes the associated Hamiltonian flows and
their invariants, canonical maps induced by the Lie group action, and
compatible Poisson structures. Our approach is mainly computational and we
detail numerous examples.
  The Lie brackets from which our results derive, arose from the consideration
of connections on bundles with zero curvature and constant torsion. We give an
alternate derivation of the Lie bracket which will be suited to applications to
Lie group actions for applications not involving a Riemannian metric. We also
begin a study of the infinite dimensional Poisson brackets which may be
obtained by considering a central extension of the Lie algebras.
\\ ( https://arxiv.org/abs/1906.10789 ,  121kb)
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arXiv:1906.10796 (*cross-listing*)
Date: Wed, 26 Jun 2019 00:50:02 GMT   (7kb)

Title: The Unified Soliton System as the ${\rm AdS_2}$ System
Authors: Masahito Hayashi, Kazuyasu Shigemoto and Takuya Tsukioka
Categories: nlin.SI math-ph math.MP
Comments: 8 pages
\\
  We study the Riemann geometric approach to be aimed at unifying soliton
systems. The general two-dimensional Einstein equation with constant scalar
curvature becomes an integrable differential equation. We show that such
Einstein equation includes KdV/mKdV/sine-Gordon equations.
\\ ( https://arxiv.org/abs/1906.10796 ,  7kb)
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arXiv:1906.10798 (*cross-listing*)
Date: Wed, 26 Jun 2019 01:02:39 GMT   (81kb,D)

Title: $k$-stretchability of entanglement, and the duality of $k$-separability
  and $k$-producibility
Authors: Szil\'ard Szalay
Categories: quant-ph math-ph math.MP
Comments: 17+5 pages, 6 figures, comments are welcome
\\
  The notions of $k$-separability and $k$-producibility are useful and
expressive tools for the characterization of entanglement in multipartite
quantum systems, when a more detailed analysis would be infeasible or simply
needless. In this work we reveal a partial duality between them, which is valid
also for their correlational counterparts. This duality can be seen from a much
wider perspective, when we consider the entanglement and correlational
properties which are invariant under the permutations of the subsystems. These
properties are labeled by Young diagrams, which we endow with a refinement-like
partial order, to build up their classification scheme. This general treatment
reveals a new property, which we call $k$-stretchability, being sensitive to
both the maximal size of correlated (or entangled) subsystems and the minimal
number of subsystems uncorrelated (or separable) from one another.
\\ ( https://arxiv.org/abs/1906.10798 ,  81kb)
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arXiv:1906.10807 (*cross-listing*)
Date: Wed, 26 Jun 2019 01:52:46 GMT   (30kb)

Title: Global Well-posedness of the Adiabatic Limit of Quantum Zakharov System
  in 1D
Authors: Brian J. Choi
Categories: math.AP math-ph math.MP
Comments: 20 pages
\\
  In this paper, we prove the low-regularity global well-posedness of the
adibatic limit of the Quantum Zakharov system and consider its semi-classical
limit, i.e., the convergence of the model equation as the quantum parameter
tends to zero. We also show ill-posedness in negative Sobolev spaces and
discuss the existence of ground-state soliton solutions in high spatial
dimensions.
\\ ( https://arxiv.org/abs/1906.10807 ,  30kb)
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arXiv:1906.10824 (*cross-listing*)
Date: Wed, 26 Jun 2019 03:14:06 GMT   (19kb)

Title: Self-duality in quantum K-theory
Authors: Henry Liu
Categories: math.AG hep-th math-ph math.MP
\\
  We describe an attempt to make quantum K-theory (of stable maps) more
amenable to the self-duality/rigidity arguments of arXiv:1512.07363 in quasimap
theory, by twisting the virtual structure sheaf. For $\mathbb{P}^n$ this twist
produces invariants which are self-dual rational functions, but asymptotic
analysis shows this is no longer the case for general GKM manifolds such as
flag varieties. Such analysis is done via an explicit combinatorial description
of localization for quantum K-theory on GKM manifolds, and Givental's adelic
characterization.
\\ ( https://arxiv.org/abs/1906.10824 ,  19kb)
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arXiv:1906.10872 (*cross-listing*)
Date: Wed, 26 Jun 2019 06:51:00 GMT   (401kb,D)

Title: Gaussian concentration bound and Ensemble equivalence in generic quantum
  many-body systems including long-range interaction
Authors: Tomotaka Kuwahara and Keiji Saito
Categories: cond-mat.stat-mech math-ph math.MP quant-ph
Comments: 28 pages, 6 figures
\\
  This work explores fundamental statistical and thermodynamic properties in
both of the short-range and long-range interacting systems. The purpose of this
study is two folds. Firstly, we rigorously prove a Gaussian concentration bound
(or Chernoff-Hoeffding inequality) of probability distribution for arbitrary
few-body observables above a threshold temperature. This bound is derived for
arbitrary Gibbs states of systems with long-range interactions. Second, we
establish a quantitative relationship between the concentration bound of the
Gibbs state and the equivalence of the canonical and the micro-canonical
ensembles. For thermodynamic quantities, we evaluate difference of the averages
between the canonical and the micro-canonical ensembles. Under the assumption
of the Gaussian concentration bound on the canonical ensemble, the difference
is upperbounded by $\left[n^{-1} \log (n^{3/2}\Delta^{-1})\right]^{1/2}$ with
$n$ the system size and $\Delta$ the width of the energy shell of the
micro-canonical ensembles. Our estimation gives a non-trivial upper bound even
for an \textit{exponentially small energy width} with respect to the system
size. By combining these two results, we prove the ensemble equivalence as well
as the weak eigenstate thermalization for arbitrary long-range interacting
systems above a threshold temperature.
\\ ( https://arxiv.org/abs/1906.10872 ,  401kb)
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arXiv:1906.10894 (*cross-listing*)
Date: Wed, 26 Jun 2019 07:54:11 GMT   (858kb,D)

Title: Speed limit of quantum dynamics near the event horizon of black holes
Authors: Yusef Maleki and Alireza Maleki
Categories: hep-th gr-qc math-ph math.MP quant-ph
Comments: 6 pages, 5 figures
\\
  Quantum mechanics imposes a fundamental bound on the minimum time required
for the quantum systems to evolve between two states of interest. This bound
introduces a limit on the speed of the dynamical evolution of the systems,
known as the quantum speed limit. We show that black holes can drastically
affect the speed limit of a two-level fermionic quantum system subjected to an
open quantum dynamics. As we demonstrate, the quantum speed limit can enhance
at the vicinity of a black hole's event horizon in the Schwarzschild spacetime.
\\ ( https://arxiv.org/abs/1906.10894 ,  858kb)
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arXiv:1906.10904 (*cross-listing*)
Date: Wed, 26 Jun 2019 08:19:26 GMT   (18kb)

Title: Witnessing incompatibility of quantum channels
Authors: Claudio Carmeli, Teiko Heinosaari, Takayuki Miyadera, Alessandro Toigo
Categories: quant-ph math-ph math.MP
Comments: 14 pages
\\
  We introduce the notion of incompatibility witness for quantum channels,
defined as an affine functional that is non-negative on all the pairs of
compatible channels and strictly negative on some incompatible pair. This
notion extends the recent definition of incompatibility witnesses for quantum
measurements. We utilize the general framework of channels acting on arbitrary
finite dimensional von Neumann algebras, thus allowing us to investigate
incompatibility witnesses on measurement-measurement, measurement-channel and
channel-channel pairs. We prove that any incompatibility witness can be
implemented as a state discrimination task in which some intermediate classical
information is obtained before completing the task. This implies that any
incompatible pair of channels gives an advantage over compatible pairs in some
such state discrimination task.
\\ ( https://arxiv.org/abs/1906.10904 ,  18kb)
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arXiv:1906.11074 (*cross-listing*)
Date: Wed, 26 Jun 2019 13:18:46 GMT   (19kb,D)

Title: Resonance of bounded isochronous oscillators
Authors: David Rojas
Categories: math.DS math-ph math.MP
Comments: 10 pages, 1 figure
\\
  An oscillator is called isochronous if all motions have a common period. When
the system is forced by a time-dependent perturbation with the same period the
phenomenon of resonance may appear. We give a sufficient condition on the
perturbation in order that resonance occurs when the period annulus of the
isochronous oscillator is bounded. In this context, resonance means that all
solutions escape from the period annulus.
\\ ( https://arxiv.org/abs/1906.11074 ,  19kb)
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arXiv:1906.11136 (*cross-listing*)
Date: Wed, 26 Jun 2019 14:47:09 GMT   (27kb)

Title: Large Deviation theorems for Dirichlet determinants of analytic
  quasi-periodic Jacobi operators with Brjuno-R\"ussmann frequency
Authors: Wenmeng Geng and Kai Tao
Categories: math.DS math-ph math.MP math.SP
Comments: 28 pages
MSC-class: 37C55, 37F10, 37C40
\\
  In this paper, we first study the strong Birkhoff Ergodic Theorem for
subharmonic functions with the Brjuno-R\"ussmann shift on the Torus. Then, we
apply it to prove the large deviation theorems for the finite scale Dirichlet
determinants of quasi-periodic analytic Jacobi operators with this frequency.
It shows that the Brjuno-R\"ussmann function, which reflects the irrationality
of the frequency, plays the key role in these theorems via the smallest
deviation. At last, as an application, we obtain a distribution of the
eigenvalues of the Jacobi operators with Dirichlet boundary conditions, which
also depends on the smallest deviation, essentially on the irrationality of the
frequency.
\\ ( https://arxiv.org/abs/1906.11136 ,  27kb)
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arXiv:1906.11162 (*cross-listing*)
Date: Wed, 26 Jun 2019 15:25:11 GMT   (229kb)

Title: Mapping Schr\"odinger equation into a Heun-type and identifying the
  corresponding potential function, energy and wavefunction
Authors: A. D. Alhaidari
Categories: quant-ph math-ph math.MP
Comments: 16 pages, 7 tables
\\
  We transform the Schr\"odinger wave equation to a nine-parameter Heun-type
differential equation. Using our solutions of the latter in [J. Math. Phys. 59
(2018) 113507], we are able to identify the associated potential function,
energy parameter, and write the corresponding wave function. Some of the
solutions obtained correspond to new integrable quantum systems.
\\ ( https://arxiv.org/abs/1906.11162 ,  229kb)
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arXiv:1906.11169 (*cross-listing*)
Date: Wed, 26 Jun 2019 15:34:52 GMT   (199kb)

Title: General stationary solutions of the nonlocal nonlinear Schr\"{o}dinger
  equation and their relevance to the PT-symmetric systems
Authors: Tao Xu, Yang Chen, Min Li, De-Xin Meng
Categories: nlin.SI math-ph math.MP
Comments: 20 pages, 4 figures
\\
  With the stationary solution assumption, we establish the connection between
the nonlocal nonlinear Schr\"{o}dinger (NNLS) equation and an elliptic
equation. Then, we obtain the general stationary solutions and discuss the
relevance of their smoothness and boundedness to some integral constants. Those
solutions, which cover the known results in the literature, include the
unbounded elliptic-function and hyperbolic-function solutions, the bounded sn-,
cn- and dn-function solutions, as well as the bright and dark soliton
solutions. By the imaginary translation invariance of the NNLS equation, we
also derive the complex-amplitude stationary solutions, in which all the
bounded cases obey either the PT- or anti-PT-symmetric relation. In particular,
the complex tanh-function solution can exhibit no spatial localization in
addition to the dark and anti-dark soliton profiles, where is sharp contrast
with the common dark soliton. Considering the physical relevance to
PT-symmetric systems, we show that the complex-amplitude stationary solutions
can yield a wide class of complex and time-independent PT-symmetric potentials,
and the symmetry breaking does not occur in the PT-symmetric linear systems
with the associated potentials.
\\ ( https://arxiv.org/abs/1906.11169 ,  199kb)
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arXiv:1906.11187 (*cross-listing*)
Date: Wed, 26 Jun 2019 16:09:50 GMT   (47kb)

Title: The elliptic stochastic quantization of some two dimensional Euclidean
  QFTs
Authors: Sergio Albeverio, Francesco C. De Vecchi and Massimiliano Gubinelli
Categories: math.PR math-ph math.MP
\\
  We study a class of elliptic SPDEs with additive Gaussian noise on
$\mathbb{R}^2 \times M$, with $M$ a $d$-dimensional manifold equipped with a
positive Radon measure, and a real-valued non linearity given by the derivative
of a smooth potential $V$, convex at infinity and growing at most
exponentially. For quite general coefficients and a suitable regularity of the
noise we obtain, via the dimensional reduction principle discussed in our
previous paper on the topic, the identity between the law of the solution to
the SPDE evaluated at the origin with a Gibbs type measure on the abstract
Wiener space $L^2 (M)$. The results are then applied to the elliptic stochastic
quantization equation for the scalar field with polynomial interaction over
$\mathbb{T}^2$, and with exponential interaction over $\mathbb{R}^2$ (known
also as H{\o}egh-Krohn or Liouville model in the literature). In particular for
the exponential interaction case, the existence and uniqueness properties of
solutions to the elliptic equation over $\mathbb{R}^{2 + 2}$ is derived as well
as the dimensional reduction for all values of the "charge parameter" $\sigma =
\frac{\alpha}{2\sqrt{\pi}} < \sqrt{8 \pi}$ for which the model has an Euclidean
invariant measure (hence also permitting to get the corresponding relativistic
invariant model on the two dimensional Minkowski space).
\\ ( https://arxiv.org/abs/1906.11187 ,  47kb)
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arXiv:1906.11223 (*cross-listing*)
Date: Wed, 26 Jun 2019 17:30:08 GMT   (4504kb,D)

Title: Bound on asymptotics of magnitude of three point coefficients in 2D CFT
Authors: Sridip Pal
Categories: hep-th math-ph math.MP
Comments: 41 pages, many figures
\\
  We use methods inspired from complex Tauberian theorems to make progress in
understanding the asymptotic behavior of the magnitude of heavy-light-heavy
three point coefficients rigorously. The conditions and the precise sense of
averaging, which can lead to exponential suppression of such coefficients are
investigated. We derive various bounds for the typical average value of the
magnitude of heavy-light-heavy three point coefficients and verify them
numerically.
\\ ( https://arxiv.org/abs/1906.11223 ,  4504kb)
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arXiv:1712.04931 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 11:44:54 GMT   (51kb)

Title: Unitarity of the modular tensor categories associated to unitary vertex
  operator algebras, II
Authors: Bin Gui
Categories: math.QA math-ph math.MP math.OA
Comments: 62 pages. Update to published version. A new theorem added (Thm 7.9)
  which explicitly points out that the positivity of \Lambda implies the
  unitarity of the modular tensor category. To appear in Commun. Math. Phys
\\ ( https://arxiv.org/abs/1712.04931 ,  51kb)
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arXiv:1801.09052 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 05:36:11 GMT   (331kb)

Title: Dimensional Reduction by Conformal Bootstrap
Authors: Shinobu Hikami
Categories: cond-mat.dis-nn hep-th math-ph math.MP
Comments: 23 page, 13 figures
DOI: 10.1093/ptep/ptz081
\\ ( https://arxiv.org/abs/1801.09052 ,  331kb)
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arXiv:1808.03009
replaced with revised version Wed, 26 Jun 2019 09:18:53 GMT   (0kb,I)

Title: Analytic Cauchy problem for the $\mu$-Camassa-Holm equation and its
  non-quasilinear version
Authors: Hideshi Yamane
Categories: math-ph math.MP
Comments: An updated version with a different title ("Local and global
  analyticity for $\mu$-Camassa-Holm equations") will be uploaded. This older
  version deals with local theory only
MSC-class: 35Q53, 35R09
\\ ( https://arxiv.org/abs/1808.03009 ,  0kb)
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arXiv:1810.01699 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 08:06:19 GMT   (145kb,D)

Title: Location of zeros for the partition function of the Ising model on
  bounded degree graphs
Authors: Han Peters, Guus Regts
Categories: math.CO cs.DS math-ph math.CV math.DS math.MP
Comments: 23 pages, 3 figures. Made a number of small clarifications,
  corrections and changes in notation. Results remain unchanged
\\ ( https://arxiv.org/abs/1810.01699 ,  145kb)
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arXiv:1810.06869
replaced with revised version Wed, 26 Jun 2019 10:29:19 GMT   (99kb,D)

Title: Sharp Asymptotics for the Truncated Two-Point Function of the Ising
  Model with a Positive Field
Authors: S\'ebastien Ott
Categories: math-ph math.MP math.PR
Comments: 26 pages, 7 figures, details added
\\ ( https://arxiv.org/abs/1810.06869 ,  99kb)
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arXiv:1810.07351
replaced with revised version Wed, 26 Jun 2019 04:37:42 GMT   (96kb,D)

Title: A many-body index for quantum charge transport
Authors: Sven Bachmann, Alex Bols, Wojciech De Roeck, Martin Fraas
Categories: math-ph math.MP quant-ph
Comments: 18 pages, 4 figures; v1->v2: Discussion of stability and
  thermodynamic limit added, minor changes throughout
\\ ( https://arxiv.org/abs/1810.07351 ,  96kb)
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arXiv:1811.05918 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 06:05:23 GMT   (237kb)

Title: Conformal Bootstrap Analysis for Localization: Symplectic Case
Authors: Shinobu Hikami
Categories: cond-mat.dis-nn math-ph math.MP
Comments: 15 pages,12 figures
\\ ( https://arxiv.org/abs/1811.05918 ,  237kb)
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arXiv:1812.04470 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 12:17:32 GMT   (133kb,D)

Title: Categorical extensions of conformal nets
Authors: Bin Gui
Categories: math.QA math-ph math.MP math.OA
Comments: 85 pages
\\ ( https://arxiv.org/abs/1812.04470 ,  133kb)
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arXiv:1901.06069 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 08:35:14 GMT   (15kb)

Title: Higher-order Galilean contractions
Authors: Jorgen Rasmussen, Christopher Raymond
Categories: hep-th math-ph math.MP
Comments: 15 pages
\\ ( https://arxiv.org/abs/1901.06069 ,  15kb)
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arXiv:1902.01680 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 11:04:56 GMT   (11kb)

Title: Polynomial bounds on the Sobolev norms of the solutions of the nonlinear
  wave equation with time dependent potential
Authors: Vesselin Petkov, Nikolay Tzvetkov
Categories: math.AP math-ph math.MP
MSC-class: 35L71 (Primary), 35L15 (Secondary)
\\ ( https://arxiv.org/abs/1902.01680 ,  11kb)
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arXiv:1904.01408 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 12:40:59 GMT   (216kb,D)

Title: The profile of chiral skyrmions of small radius
Authors: Stavros Komineas, Christof Melcher, Stephanos Venakides
Categories: cond-mat.mes-hall math-ph math.MP
Comments: 16 pages, 4 figures
\\ ( https://arxiv.org/abs/1904.01408 ,  216kb)
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arXiv:1904.07932 (*cross-listing*)
replaced with revised version Tue, 25 Jun 2019 18:04:28 GMT   (49kb)

Title: On the Convergence of Random Tridiagonal Matrices to Stochastic
  Semigroups
Authors: Pierre Yves Gaudreau Lamarre
Categories: math.PR math-ph math.MP
Comments: 58 pages, 2 figures. Version 3: minor corrections and streamlined
  presentation to reduce page count
MSC-class: 60B20, 60H25, 47D08, 60J55
\\ ( https://arxiv.org/abs/1904.07932 ,  49kb)
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arXiv:1904.12862 (*cross-listing*)
replaced with revised version Tue, 25 Jun 2019 18:37:38 GMT   (1044kb,D)

Title: The complex life of hydrodynamic modes
Authors: Sa\v{s}o Grozdanov, Pavel K. Kovtun, Andrei O. Starinets, Petar
  Tadi\'c
Categories: hep-th cond-mat.str-el math-ph math.MP nucl-th
Comments: V2: 51 pages, 16 figures
Report-no: MIT-CTP/5101, OUTP-19-02P
\\ ( https://arxiv.org/abs/1904.12862 ,  1044kb)
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arXiv:1905.03270
replaced with revised version Wed, 26 Jun 2019 09:55:30 GMT   (23kb)

Title: Bounds on Lyapunov exponents
Authors: David Sutter, Omar Fawzi, Renato Renner
Categories: math-ph cs.IT math.DS math.IT math.MP quant-ph
Comments: v2: 21 pages, independence assumption in the main result clarified
\\ ( https://arxiv.org/abs/1905.03270 ,  23kb)
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arXiv:1905.08162 (*cross-listing*)
replaced with revised version Wed, 26 Jun 2019 12:25:39 GMT   (9kb)

Title: Equivalent symmetric kernels of determinantal point processes
Authors: Marco Stevens
Categories: math.CA math-ph math.MP
Comments: 8 pages. Small revision; the case of fields of characteristic 2
  needed special attention and the general conjecture is now stated explicitly
\\ ( https://arxiv.org/abs/1905.08162 ,  9kb)
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arXiv:1905.09569 (*cross-listing*)
replaced with revised version Tue, 25 Jun 2019 20:05:41 GMT   (701kb,D)

Title: Resurgence for superconductors
Authors: Marcos Marino, Tomas Reis
Categories: hep-th cond-mat.quant-gas cond-mat.stat-mech cond-mat.supr-con math-ph math.MP
Comments: 38 pages, 10 figures; v2: references, comments and results added
\\ ( https://arxiv.org/abs/1905.09569 ,  701kb)
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