A space-dependent Boltzmann-BGK model for gas mixtures and its hydrodynamic limitsWe present a hybrid Boltzmann-BGK model for inert mixtures, where each kind of binary interaction may be described by a classical Boltzmann integral or by a suitable relaxation-type operator. We…Marzia Bisi, Maria Groppi, Giorgio Martalò·May 26, 2025SaveLearn
Local isometric immersions of pseudospherical surfaces described by a class of third order partial differential equationsIn this paper, we study the problem of local isometric immersion of pseudospherical surfaces determined by the solutions of a class of third order nonlinear partial differential equations with the…Mingyue Guo, Zhenhua Shi·May 26, 2025SaveLearn
Multipole Distributions and Hyper-Flux FieldsWe outline here a simple mathematical introduction to the notions of multipoles for a general extensive property from the point of view of continuum mechanics. Classically, is the…Vladimir Gol'dshtein, Reuven Segev·May 26, 2025SaveLearn
Nonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms in Friedmann-Lema\itre-Robertson-Walker spacetimesNonexistence of global weak solutions of Klein-Gordon equations with gauge variant semilinear terms are considered in Friedmann-Lema\itre-Robertson-Walker spacetimes. Effects of spatial expansion or…Makoto Nakamura, Takuma Yoshizumi·May 24, 2025SaveLearn
Random pure setsWe study from a statistical mechanics viewpoint some of the simplest mathematical objects, finite pure sets. Starting from the empty set, new generations are produced step by step, sets of the next…Michel Bauer·May 23, 2025SaveLearn
Wave pulses with unusual asymptotical behavior at infinityThe behavior of wave signals in the far zone is not only of theoretical interest but also of paramount practical importance in communications and other fields of applications of optical,…Peeter Saari, Ioannis Besieris·May 23, 2025SaveLearn
Smooth critical points of eigenvalues on the torus of magnetic perturbations of graphsMotivated by the nodal distribution universality conjecture for discrete operators on graphs and by the spectral analysis of their maximal abelian covers, we consider a family of Hermitian matrices…Lior Alon, Gregory Berkolaiko, Mark Goresky·May 22, 2025SaveLearn
On a certain class of para-Hermite Einstein spacesA special class of (complex) para-Hermite Einstein spaces is analyzed. It is well-known that the self-dual Weyl tensor in para-Hermite Einstein spaces is of the Petrov-Penrose type [D]. In what…Adam Chudecki·May 22, 2025SaveLearn
Quantum Systems with jump-discontinuous mass. IWe consider a free quantum particle in one dimension whose mass profile exhibits jump discontinuities. The corresponding Hamiltonian is a self-adjoint realisation of the kinetic-energy operator, with…Fabio Deelan Cunden, Giovanni Gramegna, Marilena Ligabò·May 22, 2025SaveLearn
Modular correspondences and replicable functions (unabridged version)Landen transformation, and more generally modular correspondences, can be seen to be exact symmetries of some integrable lattice models, like the square Ising model, or the Baxter model. They are…J-M. Maillard·May 22, 2025SaveLearn
d-dimensional spherical ferromagnets in random fields: Metastates, continuous symmetry breaking, and spin-glass featuresWe study the large-volume behavior of the spherical model for d-dimensional local spins, in the presence of d-dimensional random fields, for d≥ 2. We compare two models, one with…Kalle Koskinen, Christof Külske·May 22, 2025SaveLearn
Asymptotics of Fredholm determinant solutions of the noncommutative Painlev\'e II equationIn this paper, we study the asymptotic behavior of a family of pole-free solutions to the noncommutative Painlev\'e II equation. These particular solutions can be expressed in terms of the Fredholm…Jia-Hao Du, Shuai-Xia Xu, Yu-Qiu Zhao·May 22, 2025SaveLearn
Many-faced Painlev\'e I: irregular conformal blocks, topological recursion, and holomorphic anomaly approachesIn recent years, the Fourier series (Zak transform) structure of the Painlev\'e I tau function has emerged in multiple contexts. Its main building block admits several conjectural interpretations,…Nikolai Iorgov, Kohei Iwaki, Oleg Lisovyy et al.·May 22, 2025SaveLearn
Large time and distance asymptotics of the one-dimensional impenetrable Bose gas and Painlev\'e IV transitionIn the present paper, we study the time-dependent correlation function of the one-dimensional impenetrable Bose gas, which can be expressed in terms of the Fredholm determinant of a time-dependent…Zhi-Xuan Meng, Shuai-Xia Xu, Yu-Qiu Zhao·May 22, 2025SaveLearn
Asymptotics of the partition function of the perturbed Gross-Witten-Wadia unitary matrix modelWe consider the asymptotics of the partition function of the extended Gross-Witten-Wadia unitary matrix model by introducing an extra logarithmic term in the potential. The partition function can be…Yu Chen, Shuai-Xia Xu, Yu-Qiu Zhao·May 22, 2025SaveLearn
Universal estimates for the density of states for aperiodic block subwavelength resonator systemsWe consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random block configurations,…Habib Ammari, Silvio Barandun, Bryn Davies et al.·May 22, 2025SaveLearn
On Geometric Spectral FunctionalsWe investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Dirac operators…Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz et al.·May 22, 2025SaveLearn
The Darboux Classification of Curl ForcesWe study particle dynamics under curl forces. These forces are a class of non-conservative, non-dissipative, position-dependent forces that cannot be expressed as gradient of a potential function. We…Arash Yavari, Alain Goriely·May 22, 2025SaveLearn
Kinetic approximation for equations of discrete turbulence in the subcritical caseWe consider a damped/driven cubic NLS equation on a torus under the limit when first the amplitude of solutions goes to zero and then the period of the torus goes to infinity. We suggest another…Andrey Dymov·May 22, 2025SaveLearn
D-grading and quasifree evolutionGeneralizing the relation between spin-systems and Fermi-systems on the lattice we construct for a spin-system with dimension d an algebra for which quasifree time-evolutions exist. With appropriate…Heide Narnhofer·May 22, 2025SaveLearn
Generalized bulk-interface correspondence for non-quantized spin transportThis paper establishes a rigorous mathematical framework for a generalized bulk-interface correspondence (BIC) in electronic systems with possibly nonconserved spin charge, where the Hamiltonian and…Jiayu Qiu, Hai Zhang·May 22, 2025SaveLearn
Characterization of the time-dependent free Schr\"odinger operator by the Galilei invarianceThe time-dependent free Schr\"odinger operator is shown to be characterized as the only linear partial differential operator of the second order that is invariant under the Galilei group in the…Hiromichi Nakazato, Tohru Ozawa·May 22, 2025SaveLearn
Hypoellipticity of the Asymptotic Bismut Superconnection on Contact ManifoldsGiven a contact sub-Riemannian manifold one obtains a non-integrable splitting of the tangent bundle into the directions along the contact distribution and the Reeb field. We generalize the…Jesus Sanchez, Andres Franco Valiente·May 22, 2025SaveLearn
Uniqueness of star central configurations in the 5-body problemIn this study, we present a rigorous analytical proof of the uniqueness of central configurations for the five-body problem, assuming that all five masses are equal and positioned at the vertices of…Leasly A. Campa-Raymundo, Luis Franco-Pérez·May 22, 2025SaveLearn
On the Lebesgue Component of Semiclassical Measures for Abelian Quantum ActionsFor a large class of symplectic integer matrices, the action on the torus extends to a symplectic Zr-action with r≥ 2. We apply this to the study of semiclassical measures for joint…Gabriel Rivière, Lasse L. Wolf·May 22, 2025SaveLearn