Tensor Product in the Category of Effect AlgebrasWe study a tensor product in the category of effect algebras and in the category of partially ordered Abelian groups with order unit. We show that the tensor product preserves all the constructions…Dominik Lachman·Mar 3, 2025SaveLearn
Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion termThis paper aims at providing an exact algebro-geometric solution of the modified Camassa-Holm (mCH) equation derived from hyperelliptic curves in 4(p+q)-1 genus. To achieve this goal, we construct…Engui Fan, Gaozhan Li, Yiling Yang·Mar 3, 2025SaveLearn
Periodic Response Solutions to Multi-Dimensional Nonlinear Schr\"odinger equation with unbounded perturbationBy applying the Craig-Wayne-Bourgain (CWB) method, we establish the existence of periodic response solutions to multi-dimensional nonlinear Schr\"odinger equations (NLS) with unbounded perturbation.Zuhong You, Xiaoping Yuan·Mar 2, 2025SaveLearn
Multispecies inhomogeneous t-PushTASEP from antisymmetric fusionWe investigate the recently introduced inhomogeneous n-species t-PushTASEP, a long-range stochastic process on a periodic lattice. A Baxter-type formula is established, expressing the Markov…Arvind Ayyer, Atsuo Kuniba·Mar 2, 2025SaveLearn
An Eulerian formulation for dissipative materials using Lie derivatives and GENERICWe recall the systematic formulation of Eulerian mechanics in terms of Lie derivatives along the vector field of the material points. Using the abstract properties of Lie derivatives we show that the…Alexander Mielke·Feb 28, 2025SaveLearn
Quantum group deformation of the Kittel--Shore modelThe Kittel--Shore (KS) Hamiltonian describes N spins with long-range interactions that are identically coupled; therefore, this (mean-field) model is also known as the Heisenberg XXX model on the…A. Ballesteros, I. Gutiérrez-Sagredo, V. Mariscal et al.·Feb 28, 2025SaveLearn
Solving the Riccati EquationIn this study, the Riccati equation is resolved using the generalized recursive integrating factor method. By applying a non-linear transformation to the dependent variable y(x) of the Riccati…Everardo Rivera-Oliva·Feb 28, 2025SaveLearn
Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fieldsWe characterise the families of self-adjoint Dirac and Schr\"odinger operators with Aharonov-Bohm magnetic field, and we exploit the non-relativistic limit of infinite light speed to connect the…Matteo Gallone, Alessandro Michelangeli, Diego Noja·Feb 27, 2025SaveLearn
Solving Linear Differential Equations by recursion and integrating factorsIn this study, a recursive solution technique in conjunction with generalized integrating factors is presented and applied to address first and second order linear differential equations. This…Everardo Rivera-Oliva·Feb 27, 2025SaveLearn
Limit theorems for the non-convex multispecies Curie-Weiss modelWe study the thermodynamic properties of the generalized non-convex multispecies Curie-Weiss model, where interactions among different types of particles (forming the species) are encoded in a…Francesco Camilli, Emanuele Mingione, Godwin Osabutey·Feb 27, 2025SaveLearn
Hyperelliptic sigma functions and the Kadomtsev-Petviashvili equationIn this paper, a theory of hyperelliptic functions based on multidimensional sigma functions is developed and explicit formulas for hyperelliptic solutions to the Kadomtsev-Petviashvili equations…Takanori Ayano, Victor M. Buchstaber·Feb 27, 2025SaveLearn
First order operators on shrinking graph-like spacesIn this article we discuss the convergence of first order operators on a thickened graph (a graph-like space) towards a similar operator on the underlying metric graph. On the graph-like space, the…Pavel Exner, Olaf Post·Feb 27, 2025SaveLearn
Existence of global solutions to the massive Thirring model in the non-laboratory coordinatesThe massive Thirring model in the non-laboratory coordinates is considered by the Riemann-Hilbert approach. Existence of global solutions is shown for the cases of the associated Riemann-Hilbert…Sucai Niu, Junyi Zhu, Xueru Wang·Feb 26, 2025SaveLearn
A notion of fractality for a class of states and noncommutative relative distance zeta functionalIn this work, we first recall the definition of the relative distance zeta function in [42, 43, 44, 46, 47] and slightly generalize this notion from sets to probability measures, and then move on to…Yat Tin Chow·Feb 26, 2025SaveLearn
Cohomological Field Theory with vacuum and its Virasoro constraintsThis is the first part of a series of papers on Virasoro constraints for Cohomological Field Theory (CohFT). For a CohFT with vacuum, we introduce the concepts of S-calibration and…Shuai Guo, Qingsheng Zhang·Feb 26, 2025SaveLearn
Emergence of fermion-mediated interactions in Bose-Fermi mixturesThis work is inspired by recent experimental observations in ultracold atomic Bose-Fermi mixtures [DeSalvo et al., Nature 568 (2019)]. These experiments reveal the emergence of an attractive…Esteban Cárdenas, Joseph K. Miller, David Mitrouskas et al.·Feb 25, 2025SaveLearn
Quantum States from Minimal SurfacesApart from relating interesting quantum mechanical systems to equations describing a parabolic discrete minimal surface, the quantization of a cubic minimal surface in R4 is considered.Jens Hoppe·Feb 25, 2025SaveLearn
Split Two-Periodic Aztec DiamondRecent advancements have been made to understand the statistics of the Aztec diamond dimer model under general periodic weights. In this work we define a model that breaks periodicity in one…Meredith Shea·Feb 25, 2025SaveLearn
Controllability and Displacement Analysis of a Three-Link Elastic Microswimmer: A Geometric Control ApproachThis study investigates the dynamics and controllability of a Purcell three-link microswimmer equipped with passive elastic torsional coils at its joints. By controlling the spontaneous curvature, we…Rossella Attanasi, Marta Zoppello, Gaetano Napoli·Feb 25, 2025SaveLearn
Symplectic (Non-)Invariance of the Free Energy in Topological RecursionLet Fg be the free energy derived from Topological Recursion for a given spectral curve on a compact Riemann surface, and let Fg be its x-y dual, that is, the free energy derived from…Alexander Hock·Feb 25, 2025SaveLearn
Emergence of Lorentz symmetry from an almost-commutative twisted spectral tripleThis article demonstrates how the transition from a (Riemannian) twisted spectral triple to a pseudo-Riemannian spectral triple arises within an almost-commutative spectral triple. This opens a new…Gaston Nieuviarts·Feb 25, 2025SaveLearn
Tunneling between magnetic wells in two dimensionsThe two-dimensional magnetic Laplacian is considered. We calculate the leading term of the splitting between the first two eigenvalues of the operator in the semiclassical limit under the assumption…Søren Fournais, Yannick Guedes Bonthonneau, Léo Morin et al.·Feb 24, 2025SaveLearn
Homogeneous bi-Hamiltonian structures and integrable contact systemsBi-Hamiltonian structures can be utilised to compute a maximal set of functions in involution for certain integrable systems, given by the eigenvalues of the recursion operator relating both Poisson…Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú et al.·Feb 24, 2025SaveLearn
Proof of the polar decomposition of the Wiener measureIn the paper, we give the proof of the polar decomposition of the Wiener measure according to the orbits of the group of diffeomorphisms.V. V. Belokurov, E. T. Shavgulidze, N. E. Shavgulidze·Feb 24, 2025SaveLearn
A Variational Principle for Extended Irreversible Thermodynamics: Heat Conducting Viscous FluidsExtended irreversible thermodynamics is a theory that expands the classical framework of nonequilibrium thermodynamics by going beyond the local-equilibrium assumption. A notable example of this is…François Gay-Balmaz·Feb 24, 2025SaveLearn