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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

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88 papers · 1 filter

math-ph2020★ 29 cited

Generalized hydrodynamics in box-ball system

Atsuo Kuniba, Grégoire Misguich, Vincent Pasquier

Box-ball system (BBS) is a prominent example of integrable cellular automata in one dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical geometry and…

math-ph2020★ 8 cited

Linear response theory and entropic fluctuations in repeated interaction quantum systems

J. F. Bougron, L. Bruneau

We study Linear Response Theory and Entropic Fluctuations of finite dimensional non-equilibrium repeated interaction systems (RIS). More precisely, in a situation where the tempera…

math-ph2019★ 6 cited

Integral formulas and antisymmetrization relations for the six-vertex model

Luigi Cantini, Filippo Colomo, Andrei G. Pronko

We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show h…

math-ph2019★ 12 cited

1-dimensional Schrodinger operators with complex potentials

Jan Dereziński, Vladimir Georgescu

We discuss 1-dimensional Schrodinger operators with complex and locally integrable potentials that may have an arbitrary behavior at (finite or infinite) endpoints. The main tool o…

math-ph2019★ 2 cited

Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations

Thierry Daudé, Niky Kamran, Francois Nicoleau

Painlevé metrics are a class of Riemannian metrics which generalize the well-known separable metrics of Stäckel to the case in which the additive separation of variables for the Ha…

math-ph2018★ 6 cited

Wick rotation of the time variables for two-point functions on analytic backgrounds

Michał Wrochna

We set up a general framework for Calderón projectors (and their generalization to non-compact manifolds), associated with complex Laplacians e.g. obtained by Wick rotation of a Lo…

math-ph2017★ 15 cited

Large Deviations and Fluctuation Theorem for Selectively Decoupled Measures on Shift Spaces

Noé Cuneo, Vojkan Jakšić, Claude-Alain Pillet +1

We establish the Level-1 and Level-3 Large Deviation Principles (LDPs) for invariant measures on shift spaces over finite alphabets under very general decoupling conditions for whi…

math-ph2017★ 4 cited

Fluctuation Theorem and Thermodynamic Formalism

Noé Cuneo, Vojkan Jakšić, Claude-Alain Pillet +1

We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuou…

math-ph2017★ 8 cited

Symmetry breaking in the periodic Thomas--Fermi--Dirac--von Weizs{ä}cker model

Julien Ricaud

We consider the Thomas--Fermi--Dirac--von~Weizs{ä}cker model for a system composed of infinitely many nuclei placed on a periodic lattice and electrons with a periodic density. We…

math-ph2017

Unique determination of electromagnetic parameters from partial boundary measurements

Christian Daveau, Abdessatar Khelifi, Houssem Lihiou

We consider an inverse boundary value problem for the Maxwell's equations with a given data assumed to be known only in accessible part of the boundary. We aim to prove an uniq…

math-ph2016★ 11 cited

On the origin of dual Lax pairs and their -matrix structure

Jean Avan, Vincent Caudrelier

We establish the algebraic origin of the following observations made previously by the authors and coworkers: (i) A given integrable PDE in dimensions within the Zakharov-Sha…

math-ph2016★ 6 cited

Deformed Virasoro algebras from elliptic quantum algebras

J. Avan, L. Frappat, E. Ragoucy

We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows u…

math-ph2016★ 26 cited

Entropic fluctuations in thermally driven harmonic networks

Vojkan Jaksic, Claude-Alain Pillet, Armen Shirikyan

We consider a general network of harmonic oscillators driven out of thermal equilibrium by coupling to several heat reservoirs at different temperatures. The action of the reservoi…

math-ph2016★ 6 cited

Derivation of the magnetic Euler-Heisenberg energy

Philippe Gravejat, Mathieu Lewin, Éric Séré

In quantum field theory, the vacuum is a fluctuating medium which behaves as a nonlinear polarizable material. In this article, we perform the first rigorous derivation of the magn…

math-ph2015★ 2 cited

Crystalline conductance and absolutely continuous spectrum of 1D samples

Laurent Bruneau, Yoram Last, Vojkan Jaksic +1

We characterize the absolutely continuous spectrum of half-line one-dimensional Schrödinger operators in terms of the limiting behavior of the Crystaline Landauer-Büttiker conducta…

math-ph2015★ 38 cited

Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality

Jean Avan, Vincent Caudrelier, Anastasia Doikou +1

We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equat…

math-ph2015★ 9 cited

Entropic fluctuations in Gaussian dynamical systems

Vojkan Jaksic, Claude-Alain Pillet, Armen Shirikyan

We study non-equilibrium statistical mechanics of a Gaussian dynamical system and compute in closed form the large deviation functionals describing the fluctuations of the entropy…

math-ph2015★ 12 cited

Slavnov and Gaudin-Korepin formulas for models without symmetry: the XXX chain on the segment

S. Belliard, R. A. Pimenta

We consider the isotropic spin Heisenberg chain with the most general integrable boundaries. The scalar product between the on-shell Bethe vector and its off-shell du…

math-ph2015★ 34 cited

Slavnov and Gaudin-Korepin Formulas for Models without Symmetry: the Twisted XXX Chain

Samuel Belliard, Rodrigo A. Pimenta

We consider the XXX spin- Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and st…

math-ph2015★ 78 cited

Modified algebraic Bethe ansatz for XXZ chain on the segment - III - Proof

J. Avan, S. Belliard, N. Grosjean +1

In this paper, we prove the off-shell equation satisfied by the transfer matrix associated with the XXZ spin- chain on the segment with two generic integrable boundaries a…

math-ph2015★ 16 cited

On Factorization of Molecular Wavefunctions

Thierry Jecko, Brian T. Sutcliffe, R. Guy Woolley

Recently there has been a renewed interest in the chemical physics literature of factorization of the position representation eigenfunctions \{\} of the molecular Schrödinger eq…

math-ph2015★ 43 cited

Matrix product formula for Macdonald polynomials

Luigi Cantini, Jan de Gier, Michael Wheeler

We derive a matrix product formula for symmetric Macdonald polynomials. Our results are obtained by constructing polynomial solutions of deformed Knizhnik--Zamolodchikov equations,…

math-ph2015★ 4 cited

Conductance and absolutely continuous spectrum of 1D samples

Laurent Bruneau, Vojkan Jakšić, Yoram Last +1

We characterize the absolutely continuous spectrum of the one-dimensional Schrödinger operators acting on in terms of the limiting behavior of the L…

math-ph2015★ 4 cited

Local inverse scattering at a fixed energy for radial Schr{ö}dinger operators and localization of the Regge poles

Thierry Daudé, Francois Nicoleau

We study inverse scattering problems at a fixed energy for radial Schrödinger operators on , . First, we consider the class of potentials which…