A Hamilton-Jacobi approach to nonlocal kinetic equationsHighly concentrated patterns have been observed in a spatially heterogeneous, nonlocal, model of BGK type implementing a velocity-jump process. We study both a linear and a nonlinear case and…Nadia Loy, Benoit Perthame·Jan 30, 2024SaveLearn
Realization of unitary representations of the Lorentz group on de Sitter spaceThis paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups G acting on a non-compactly causal symmetric space M = G/H, every irreducible…Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson·Jan 30, 2024SaveLearn
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometryWe investigate the geometry of classical Hamiltonian systems immersed in a magnetic field in three-dimensional Riemannian configuration spaces. We prove that these systems admit non-trivial…Ondřej Kubů, Daniel Reyes, Piergiulio Tempesta et al.·Jan 30, 2024SaveLearn
A spectral approach to Hebbian-like neural networksWe consider the Hopfield neural network as a model of associative memory and we define its neuronal interaction matrix J as a function of a set of K × M binary vectors…Elena Agliari, Domenico Luongo, Alberto Fachechi·Jan 29, 2024SaveLearn
On the twofold Moutard transformation of the stationary Schr\"odinger equation with axial symmetryThe generalized Moutard transformation of the stationary axially symmetric Schr\"odinger equation is considered. It is shown that a superposition of two Moutard transformations can provide new…Andrey Kudryavtsev·Jan 29, 2024SaveLearn
Triangular factorization of operators and reconstruction of systemsThe paper provides a coherent presentation of an operator scheme, which is used in an approach to inverse problems of mathematical physics (the boundary control method). The scheme is based on the…M. I. Belishev·Jan 29, 2024SaveLearn
Validation of symmetry-induced high moment velocity and temperature scaling laws in a turbulent channel flowThe symmetry-based turbulence theory has been used to derive new scaling laws for the streamwise velocity and temperature moments of arbitrary order. For this, it has been applied to an…Francisco Alcántara-Ávila, Luis Miguel García-Raffi, Sergio Hoyas et al.·Jan 29, 2024SaveLearn
On the discrete Dirac spectrum of general-relativistic hydrogenic ions with anomalous magnetic momentThe Reissner-Weyl-Nordstr\"om (RWN) spacetime of a point nucleus features a naked singularity for the empirically known nuclear charges Ze and masses M = A(Z,N)mp, where…Elie Kapengut, Michael K. -H. Kiessling, Eric Ling et al.·Jan 28, 2024SaveLearn
Noether's currents for conformable fractional scalar field theoriesThe construction of fractional derivatives with the right properties for use in field theory is reputed to be a difficult task, essentially because of the absence of a unique definition and uniform…Jean-Paul Anagonou, Vincent Lahoche, Dine Ousmane Samary·Jan 28, 2024SaveLearn
A Gaussian Beam Construction of de Haas-vanAlfven ResonancesIn this article we consider a Bloch electron in a crystal lattice subject to slowy varying external magnetic fields. We offer an explanation of de Haas-van Alfven oscillations in terms of energy…Mouez Dimassi, Jean-Claude Guillot, James Ralston·Jan 28, 2024SaveLearn
Enhanced wave transmission in random media with mirror symmetryWe present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and we consider two…Liliana Borcea, Josselin Garnier·Jan 28, 2024SaveLearn
The Second Order 2D Behaviors of a 3D Bose Gases in the Gross-Pitaevskii RegimeWe consider a system of N bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the…Xuwen Chen, Jiahao Wu, Zhifei Zhang·Jan 28, 2024SaveLearn
1D self-similar fractals with centro-symmetric Jacobians: asymptotics and modular dataWe establish asymptotics of growing one dimensional self-similar fractal graphs, they are networks that allow multiple weighted edges between nodes, in terms of quantum central limit theorems for…Radhakrishnan Balu·Jan 27, 2024SaveLearn
Higher energy state approximations in the `Many Interacting Worlds' modelIn the `Many Interacting Worlds' (MIW) discrete Hamiltonian system approximation of Schr\"odinger's wave equation, introduced in hall2014, convergence of ground states to the Normal ground…Alex Loomis, Sunder Sethuraman·Jan 27, 2024SaveLearn
Self-contact preventing energy for tubular rodsWe introduce a generalization of Mobius energy for knots to an energy functional for tubular neighbourhoods of closed inextensible curves. We prove the continuity of the energy and its boundedness…Chiara Lonati, Alfredo Marzocchi·Jan 27, 2024SaveLearn
Stokes graphs of the Rabi problem with real parametersThe goal of this paper is to study the geometry of the Stokes graphs associated with the problem, which was introduced by Isidor Rabi in 1937 to model reactions of atoms to the harmonic electric…René Langøen, Irina Markina, Alexander Yu. Solynin·Jan 26, 2024SaveLearn
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regimeWe study a dilute system of N interacting bosons coupled to an impurity particle via a pair potential in the Gross--Pitaevskii regime. We derive an expansion of the ground state energy up to order…Jonas Lampart, Arnaud Triay·Jan 26, 2024SaveLearn
Ground state energy of Bogoliubov energy functional in the high density limitWe consider the Bogoliubov energy functional proposed by Napi\'orkowski, Reuvers and Solovej and analize it in the high density regime. We derive a two term asymptotic expansion of the ground state…Norbert Mokrzański, Bartosz Pałuba·Jan 26, 2024SaveLearn
Generalization of nonlocally related partial differential equation systems: unknown symmetric properties and analytical solutionsSymmetry, which describes invariance, is an eternal concern in mathematics and physics, especially in the investigation of solutions to the partial differential equation (PDE). A PDE's nonlocally…Huanjin Wang, Qiulan Zhao, Xinyue Li·Jan 26, 2024SaveLearn
A Numerical System For Nested Spaces -- Defining An Intuitive, Universal Coordinate System For Self-SimilarityAnalysis on fractals is a growing field, with hints of potential for widespread applicability across all of STEM. One of the most heavily researched type of fractals are the nested fractals, fractal…Petal B. Mokryn·Jan 26, 2024SaveLearn
Multiple cosmic strings in Chern-Simons-Higgs theory with gravityIn this paper, we consider the self-dual equation arising from Abelian Chern-Simons-Higgs theory coupled to the Einstein equations over the plane R2 and a compact surface S. We prove…Lei Cao, Shouxin Chen·Jan 26, 2024SaveLearn
Cauchy, Cosserat, Clausius, Maxwell, Weyl Equations RevisitedThe Cauchy stress equations (1823), the Cosserat couple-stress equations (1909), the Clausius virial equation (1870), the Maxwell/Weyl equations (1873,1918) are among the most famous partial…J. -F. Pommaret·Jan 25, 2024SaveLearn
Exact surface energy of the Hubbard model with nonparallel boundary magnetic fieldsIn this study, we explore the precise physical quantities in the thermodynamic limit of the one-dimensional Hubbard model with nonparallel boundary magnetic fields based on the off-diagonal Bethe…Pei Sun, Yi Qiao, Tao Yang et al.·Jan 25, 2024SaveLearn
Characterising the Haar measure on the p-adic rotation groups via inverse limits of measure spacesWe determine the Haar measure on the compact p-adic special orthogonal groups of rotations SO(d)p in dimension d=2,3, by exploiting the machinery of inverse limits of measure spaces,…Paolo Aniello, Sonia L'Innocente, Stefano Mancini et al.·Jan 25, 2024SaveLearn
Periodically Forced Nonlinear Oscillatory Acoustic VacuumIn this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the…Makrina Agaoglou, Michal Feckan, Michal Pospisil et al.·Jan 25, 2024SaveLearn