Parametrized topological phases in 1d and T-dualityThere are families of physical systems that cannot be adiabatically evolved to the trivial system uniformly across the parameter space, even if each system in the family belongs to the trivial phase.…Roman Geiko·Dec 30, 2024SaveLearn
Dynamical system describing cloud of particles in relativistic and non-relativistic frameworkWe consider fairly general class of dynamical systems under the assumptions guaranteeing the existence of Lyapunov function around some nontrivial stationary point. Moreover, the existence of…Robert Stańczy, Dorota Bors·Dec 30, 2024SaveLearn
Universal hyper-scaling relations, power-law tails, and data analysis for strong anomalous diffusionStrong anomalous diffusion is often characterized by a piecewise-linear spectrum of the moments of displacement. The spectrum is characterized by slopes and ζ for small and large…Jürgen Vollmer, Claudio Giberti, Jordan Orchard et al.·Dec 29, 2024SaveLearn
Outer and Eigen: Tangent ConceptsIn this paper we use the power of the outer exponential B of a bivector B to see the so-called invariant decomposition from a different perspective. This is deeply connected with the…David Eelbode, Martin Roelfs, Steven De Keninck·Dec 29, 2024SaveLearn
Microlocal Analysis of a Deformed Quantum Field TheoryA deformation technique, known as the warped convolution, takes quantum fields in Minkowski spacetime to quantum fields in noncommutative Minkowski space-time. Since a quantum field is an operator…Rishabh Ballal, Albert Much, Rainer Verch·Dec 29, 2024SaveLearn
Curvature, area and Gauss-Bonnet formula of the Moyal sphereWe studied some geometric properties of the Moyal sphere. Using the conformal metric of the sphere in ordinary space and the matrix basis, we calculated the scalar curvature, total curvature integral…Han-Liang Chen, Bing-Sheng Lin·Dec 29, 2024SaveLearn
Combinatorics and large genus asymptotics of the Br\'ezin--Gross--Witten numbersIn this paper, we study combinatorial and asymptotic properties of some interesting rational numbers called the Br\'ezin--Gross--Witten (BGW) numbers, which can be represented as the intersection…Jindong Guo, Paul Norbury, Di Yang et al.·Dec 29, 2024SaveLearn
Invariance of intrinsic hypercontractivity under perturbation of Schr\"odinger operatorsA Schr\"odinger operator that is bounded below and has a unique positive ground state can be transformed into a Dirichlet form operator by the ground state transformation. If the resulting Dirichlet…Leonard Gross·Dec 28, 2024SaveLearn
Notes on path integral reduction in scalar electrodynamicsBased on a method developed earlier for a finite-dimensional mechanical system, the problem of path integral reduction for scalar electrodynamics is considered. Using the Coulomb gauge, the…S. N. Storchak·Dec 28, 2024SaveLearn
Quasicrystal problem -- on rigidity of non-periodic structures from statistical mechanics point of viewWe present a brief history of quasicrystals and a short introduction to classical lattice-gas models of interacting particles. We discuss stability of non-periodic tilings and one-dimensional…Jacek Miȩkisz·Dec 27, 2024SaveLearn
Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomialsWe present new examples of superintegrable matrix/eigenvalue models. These examples arise as a result of the exploration of the relationship between the theory of superintegrability and multivariate…Victor Mishnyakov·Dec 27, 2024SaveLearn
Quantum K-theory and IntegrabilityIn this note, we explore some recent advancements in enumerative algebraic geometry, focusing particularly on the role of quantum K-theory of quiver varieties as viewed through the lens of integrable…Peter Koroteev·Dec 27, 2024SaveLearn
Gauge symmetry and partially Lagrangian systemsWe consider a classical field theory whose equations of motion follow from the least action principle, but the class of admissible trajectories is restricted by differential equations. The key…Simon Lyakhovich, Nikita Sinelnikov·Dec 27, 2024SaveLearn
Transit-Length Distribution for Particle Transport in Binary Markovian Mixed MediaThe correspondence between the telegraph random process and transport within a binary stochastic Markovian mixture is established. This equivalence is used to derive the distribution function for the…Brian C. Kiedrowski, Emily H. Vu·Dec 26, 2024SaveLearn
A solution of the associative Yang-Baxter equation related to the queer Lie superalgebraWe propose a trigonometric solution of the associative Yang-Baxter equation related to the queer Lie superalgebra which in its turn satisfies the quantum Yang-Baxter equation.Maria Matushko·Dec 26, 2024SaveLearn
A geometric description of some thermodynamical systemsIn this paper we show how almost cosymplectic structures are a natural framework to study thermodynamical systems. Indeed, we are able to obtain the same evolution equations obtained previously by…Manuel de León, Jaime Bajo·Dec 24, 2024SaveLearn
The Maximum Entropy Principle in Nonequilibrium Thermodynamics: A Brief History and the Contributions of Wolfgang DreyerWe present a brief history of how the famous Maximum Entropy Principle was used as closure of moments of the Boltzmann equation. In particular, we want to remark on the important role of two…Takashi Arima, Tommaso Ruggeri·Dec 24, 2024SaveLearn
Cyclic BV∞ algebra and Frobenius manifoldWe describe the construction of Frobenius manifold out of a cyclic (commutative) BV∞ algebra (A,) under the assumption of a Hodge-to-de Rham degeneration property and the existence of…Wen Hao·Dec 24, 2024SaveLearn
Soliton Shielding of the focusing modified KdV equationWe consider soliton gas solutions of the modified Korteweg-de Vries (mKdV) equation, where the point spectrum of the condensate is located within a bounded domain in the upper half-plane. We first…Ruihong Ma, Engui Fan·Dec 24, 2024SaveLearn
Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfacesA generalized Camassa-Holm equation, which describes pseudospherical surfaces, is considered. Using geometric methods, it is demonstrated that the equation is geometrically integrable. Additionally,…Mingyue Guo, Zhenhua Shi·Dec 24, 2024SaveLearn
Local Boundary Conditions for Dirac-type operatorsWe consider Dirac-type operators on manifolds with boundary, and set out to determine all local smooth boundary conditions that give rise to (strongly) regular self-adjoint operators. By combining…Nadine Große, Alejandro Uribe, Hanne van den Bosch·Dec 23, 2024SaveLearn
The Hydrodynamic Limit of Neural Networks with Balanced Excitation and InhibitionThe theory of `Balanced Neural Networks' is a very popular explanation for the high degree of variability and stochasticity in the brain's activity. We determine equations for the hydrodynamic limit…James MacLaurin, Pedro Vilanova·Dec 23, 2024SaveLearn
Localization for random operators on Zd with the long-range hoppingIn this paper, we investigate random operators on Zd with H\"older continuously distributed potentials and the long-range hopping. The hopping amplitude decays with the inter-particle…Yunfeng Shi, Li Wen, Dongfeng Yan·Dec 23, 2024SaveLearn
Superoscillations in the hypercomplex settingSuperoscillatory functions represent a counterintuitive phenomenon in physics but also in mathematics, where a band-limited function oscillates faster than its highest Fourier component. They appear…F. Colombo, F. Mantovani, S. Pinton et al.·Dec 22, 2024SaveLearn
Trees that can be grown in "too many" ways: A review of Bouch's constructionWe carefully review the hierarchical construction by Bouch [Bouch2015] of trees on the square lattice that can be grown from its root in L!/CL distinct ways, where L denotes the number of bonds…Hal Tasaki·Dec 22, 2024SaveLearn