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Mathematical Physics papers — page 168

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It\o versus H\"anggi-Klimontovich
Interpreting the noise in a stochastic differential equation, in particular the It\o versus Stratonovich dilemma, is a problem that has generated a lot of debate in the physical literature. In the…
Carlos Escudero, Helder RojasSep 7, 2023
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Non-perturbative localization for quasi-periodic Jacobi block matrices
We prove non-perturbative Anderson localization for quasi-periodic Jacobi block matrix operators assuming non-vanishing of all Lyapunov exponents. The base dynamics on tori Tb is assumed…
Rui Han, Wilhelm SchlagSep 7, 2023
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Heat Current Properties of a Rotor Chain Type Model with Next-Nearest-Neighbor Interactions
In this article, to study the heat flow behavior, we perform analytical investigations in a rotor chain type model (involving inner stochastic noises) with next and next-nearest-neighbor…
Humberto C. F. Lemos, Emmanuel PereiraSep 6, 2023
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Magic angle (in)stability and mobility edges in disordered Chern insulators
Why do experiments only observe one magic angle in twisted bilayer graphene, despite standard models like the chiral limit of the Bistritzer-MacDonald Hamiltonian predicting an infinite number? In…
Simon Becker, Izak Oltman, Martin VogelSep 6, 2023
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Special function models of indecomposable sl(2) representations: The Laguerre Case
In this paper, we point out connections between certain types of indecomposable representations of sl(2) and generalizations of well-known orthogonal polynomials. Those representations take the…
Sébastien Bertrand, Ian Marquette, Willard Miller et al.Sep 6, 2023
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Reynolds Averaged Solutions of the Navier-Stokes Equation
The mean of Young measure solutions for the Navier-Stokes equations with general initial conditions are PDE solutions of the Navier-Stokes equation of the class considered by Leray and Hopf.
James Glimm, Min Chul Lee, Abdul Hasib RahimyarSep 5, 2023
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Quasiparticles for the one-dimensional nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation
We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically concentrated states in…
A. E. Kulagin, A. V. ShapovalovSep 5, 2023
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A Novel Holographic Framework Preserving Reflection Positivity in dSd Spacetime
This manuscript introduces a novel holographic correspondence in d-dimensional de Sitter (dSd) spacetime, connecting bulk dSd scalar unitary irreducible representations (UIRs) with their…
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed PejhanSep 5, 2023
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Bethe Ansatz
The term Bethe Ansatz stands for a multitude of methods in the theory of integrable models in statistical mechanics and quantum field theory that were designed to study the spectra, the thermodynamic…
Frank GöhmannSep 5, 2023
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On the self-consistent Landauer-B\"uttiker formalism
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady…
Horia D. Cornean, Giovanna MarcelliSep 4, 2023
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On the Novikov problem with a large number of quasiperiods and its generalizations
The paper considers the Novikov problem of describing the geometry of level lines of quasi-periodic functions on the plane. We consider here the most general case, when the number of quasi-periods of…
A. Ya. MaltsevSep 4, 2023
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H-Theorem and Boundary Conditions for Two-Temperature Model: Application to Wave Propagation and Heat Transfer in Polyatomic Gases
Polyatomic gases find numerous applications across various scientific and technological fields, necessitating a quantitative understanding of their behavior in non-equilibrium conditions. In this…
Anil Kumar, Anirudh Singh RanaSep 4, 2023
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On Rotated CMV Operators and Orthogonal Polynomials on the Unit Circle
Split-step quantum walk operators can be expressed as a generalised version of CMV operators with complex transmission coefficients, which we call rotated CMV operators. Following the idea of…
Ryan C. H. AngSep 4, 2023
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The emergence of order in many element systems
Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos),…
Amit EinavSep 3, 2023
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The quantum vortices dynamics: spatio-temporal scale hierarchy and origin of turbulence
This study investigates the evolution and interaction of quantum vortex loops with a small but non-zero radius of core a. The quantization scheme of the classical vortex system is based on…
S. V. TalalovSep 3, 2023
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Spectral analysis and phase transitions for long-range interactions in harmonic chains of oscillators
We consider chains of N harmonic oscillators in two dimensions coupled to two Langevin heat reservoirs at different temperatures - a classical model for heat conduction introduced by Lebowitz,…
Simon Becker, Angeliki Menegaki, Jiming YuSep 2, 2023
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Presentation of some elementary properties of Segal-Bargmann space and of unitary Segal-Bargmann transform with applications
In this work, we present some elementary properties of Segal-Bargmann space and some properties of unitary Segal Bargmann transform with applications to differential operators arising out of…
Abdelkader IntissarSep 1, 2023
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Hamiltonian for the Hilbert-P\'olya Conjecture
We introduce a Hamiltonian to address the Hilbert-P\'olya conjecture. The eigenfunctions of the introduced Hamiltonian, subject to the Dirichlet boundary conditions on the positive half-line, vanish…
Enderalp YakaboyluSep 1, 2023
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Invariant subspace problem in Hilbert space: Correlation with the Kadison-Singer problem and the Borel conjecture
This paper explores the intriguing connections between the invariant subspace problem, the Kadison-Singer problem, and the Borel conjecture. The Kadison-Singer problem, originally formulated in terms…
Mostafa BehtoueiAug 31, 2023
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The Cone of Mueller Matrices
In the study of polarized light, there are two basic notions: the Stokes vectors and the matrices which preserve them, called Mueller matrices. The set of Stokes vectors forms a cone: the Future…
Martha Takane, J. Ivan Lopez-Reyes, J. Othon Parra-AlcantarAug 31, 2023
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Bethe ansatz inside Calogero-Sutherland models
We study the trigonometric quantum spin-Calogero-Sutherland model, and the Haldane-Shastry spin chain as a special case, using a Bethe-ansatz analysis. We harness the model's Yangian symmetry to…
Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk et al.Aug 31, 2023
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Z22-graded supersymmetry via superfield on minimal Z22-superspace
A superfield formalism for the minimal Z22-graded version of supersymmetry is developed. This is done by using the recently introduced definition of integration on the minimal…
N. Aizawa, Ren Ito, Toshiya TanakaAug 31, 2023
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Boundary states of the Robin magnetic Laplacian
This article tackles the spectral analysis of the Robin Laplacian on a smooth bounded two-dimensional domain in the presence of a constant magnetic field. In the semiclassical limit, a uniform…
Rayan Fahs, Loïc Le Treust, Nicolas Raymond et al.Aug 31, 2023
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Gibbs Measures on Multidimensional Spaces. Equivalences and a Groupoid Approach
We consider some of the main notions of Gibbs measures on subshifts introduced by different communities, such as dynamical systems, probability, operator algebras, and mathematical physics. For…
Rodrigo Bissacot, Bruno Hideki Fukushima-Kimura, Rafael Pereira Lima et al.Aug 31, 2023
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A (q,t)-deformation of the 2d Toda integrable hierarchy
A (q,t)-deformation of the 2d Toda integrable hierarchy is introduced by enhancing the underlying symmetry algebra gl(∞) q-W1+∞ to the quantum toroidal…
Jean-Emile Bourgine, Alexandr GarbaliAug 31, 2023
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