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Mathematical Physics papers — page 87

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Symplectic approach to global stability
We present a new approach to the problem of proving global stability, based on symplectic geometry and with a focus on systems with several conserved quantities. We also provide a proof of…
Verónica Errasti Díez, Jordi Gaset Rifà, Manuel LainzApr 22, 2025
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Approximation of Invariant Solutions to the Nonlinear Filtration Equation by Modified Pade Approximants
This paper deals with a mathematical model for oil filtration in a porous medium and its self-similar and traveling wave regimes. The model consists of the equation for conservation mass and…
Sergii Skurativskyi, Sergiy Mykulyak, Inna SkurativskaApr 22, 2025
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Convergence to equilibrium distribution. Dirac fields coupled to a particle
For a system consisting of several Dirac fields and a particle, we study the Cauchy problem with random initial data. We assume that the initial measure has zero mean value, a finite mean charge…
T. V. DudnikovaApr 22, 2025
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A new representation formula for the logarithmic corotational derivative -- a case study in application of commutator based functional calculus
The logarithmic corotational derivative is a key concept in rate-type constitutive relations in continuum mechanics. The derivative is defined in terms of the logarithmic spin tensor, which is a…
Michal Bathory, Miroslav Bulíček, Josef Málek et al.Apr 22, 2025
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Resonant tunneling effect for quantum walks on directed graphs
Quantum walks that depend smoothly on a small parameter 0 are considered on directed graphs. The asymptotic behavior of the scattering matrix of the quantum walk as +0…
Kenta HiguchiApr 22, 2025
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The Dirac operator for the Ruelle-Koopman pair on Lp-spaces: an interplay between Connes distance and symbolic dynamics
Denote by μ the maximal entropy measure for the shift \(σ\) acting on = \0, 1\N, by the associated Ruelle operator and by = …
William Braucks, Artur O. LopesApr 21, 2025
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On Walker and para-Hermite Einstein spaces
A special class of (complex) para-Hermite Einstein spaces is analyzed. For this class of spaces the self-dual Weyl tensor is type-[D] in the Petrov-Penrose classification. The anti-self-dual Weyl…
Adam ChudeckiApr 21, 2025
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Quantum Curves in the Context of Symplectic Duality
We discuss how to use the recent progress in understanding of the x-y duality and symplectic duality in the theory of topological recursion and its generalizations in order to efficiently compute…
Alexander Hock, Sergey ShadrinApr 21, 2025
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Categorifying Clifford QCA
We provide a complete classification of Clifford quantum cellular automata (QCAs) on arbitrary metric spaces and any qudits (of prime or composite dimensions) in terms of algebraic L-theory. Building…
Bowen YangApr 21, 2025
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Nonlinear wave superpositions and quasi-rectifiable Lie modules
This paper presents a study of nonlinear superpositions of Riemann wave solutions admitted by quasilinear hyperbolic first-order systems of partial differential equations. In particular, we focus on…
Łukasz Chomienia, Alfred Michel GrundlandApr 20, 2025
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Moser Regularization of a Stochastically Perturbed Kepler Problem
We consider a stochastic Kepler problem perturbed by a Hamiltonian noise affecting the angular momentum vector. We show that the angular momentum and the Laplace-Runge-Lenz vectors are conserved in…
Archishman SahaApr 20, 2025
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Limiting absorption principle for long-range perturbation in a graphene setting
In this paper, we examine the discrete Laplacian acting on a hexagonal lattice by introducing long-range modifications in both the metric and the potential. Our objective is to establish a Limiting…
Nassim Athmouni, Marwa Ennaceur, Sylvain Golenia et al.Apr 18, 2025
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Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
Our previous work [37] presented a rigorous derivation of quantum Boltzmann equations near a Bose-Einstein condensate (BEC). Here, we extend it with a complete characterization of the leading order…
Thomas Chen, Michael HottApr 18, 2025
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Generalized super-W1+∞-n-algebra and Landau Problem
We investigate the R(p,q)-super n-bracket and study their properties such that the generalized super Jacobi identity (GJSI). Furthermore, from the R(p,q)-operators in a…
Fridolin Melong, Raimar WulkenhaarApr 17, 2025
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From Lorentz to SIM(2): contraction, four-dimensional algebraic relations and projective representations
We present a comprehensive study on SIM(2) and ISIM(2) groups, their representations and algebraic aspects. These groups, together with HOM(2), arise as the symmetry groups of Very Special…
J. E. Rodrigues, J. M. B. Matzenbacher, G. M. Caires da Rocha et al.Apr 17, 2025
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Characterization of the W1+∞-n-algebra and applications
In this paper, we construct the W1+∞-n-algebras in the framework of the generalized quantum algebra. We characterize the R(p,q)-multi-variable W1+∞-algebra and derive…
Fridolin Melong, Raimar WulkenhaarApr 17, 2025
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An etude on a renormalization
In this paper, we study renormalization, that is, the procedure for eliminating singularities, for a special model using both combinatorial techniques in the framework of working with formal series,…
A. V. IvanovApr 17, 2025
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Beta function without UV divergences
In this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultraviolet divergences.…
Maxim Gritskov, Andrey LosevApr 16, 2025
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Perturbations vs deformations
In the first part of the paper we define a perturbative (pre-formal) geometry and formulate a theorem on the relation between the construction of a perturbative neighborhood of affine varieties and…
Maksim Gritskov, Andrey LosevApr 16, 2025
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The Lp-boundedness of wave operators for 4-th order Schr\"odinger operators on R2, I. Regular case
We prove that wave operators of scattering theory for fourth order Schr\"odinger operators H = 2 + V (x) on R2 with real potentials V(x) such that $ x 3 V(x) ∈…
Artbazar Galtbayar, Kenji YajimaApr 16, 2025
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Random matrix ensembles and integrable differential identities
Integrable differential identities, together with ensemble-specific initial conditions, provide an effective approach for the characterisation of relevant observables and state functions in random…
Costanza Benassi, Marta Dell'Atti, Antonio MoroApr 15, 2025
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Infinite Stability in Disordered Systems
In quenched disordered systems, the existence of ordering is generally believed to be only possible in the weak disorder regime (disregarding models of spin-glass type). In particular, sufficiently…
Andrew C. Yuan, Nick CrawfordApr 15, 2025
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q-Heisenberg Algebra in 2-Tensor Space
In this paper, we introduce the q-Heisenberg algebra in the tensor product space 2. We establish its algebraic properties and provide applications to the theory of non-monogenic…
Julio César Jaramillo QuicenoApr 14, 2025
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On novel Hamiltonian descriptions of some three-dimensional non-conservative systems
We present novel Hamiltonian descriptions of some three-dimensional systems including two well-known systems describing the three-wave-interaction problem and some well-known chaotic systems, namely,…
Aritra Ghosh, Anindya Ghose-Choudhury, Partha GuhaApr 14, 2025
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Analytic semigroups approaching a Schr\"odinger group on real foliated metric manifolds
On real metric manifolds admitting a co-dimension one foliation, sectorial operators are introduced that interpolate between the generalized Laplacian and the d'Alembertian. This is used to construct…
Rudrajit Banerjee, Max NiedermaierApr 14, 2025
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