Logarithmic uncertainty principle for Clifford-wavelet transformThe uncertainty principle constitutes one of the famous physical concepts which continues to attract researchers from different related fields since its discovery due to its utility in many…Sabrine Arfaoui, Hicham Banouh, Anouar Ben Mabrouk·Mar 23, 2024SaveLearn
Efficient semiclassical approximation for bound states in graphene in magnetic field with a small trigonal warping correctionThis paper is devoted to the construction of semiclassical spectrum and efficient (simple to implement) explicit semiclassical asymptotic eigenfunctions of the Dirac operator for relatively…Vladislav Rykhlov·Mar 23, 2024SaveLearn
Self-consistent autocorrelation of a disordered Kuramoto model in the asynchronous stateThe Kuramoto model has provided deep insights into synchronization phenomena and remains an important paradigm to study the dynamics of coupled oscillators. Yet, despite its success, the asynchronous…Yagmur Kati, Jonas Ranft, Benjamin Lindner·Mar 23, 2024SaveLearn
Metric-affine cosmological models and the inverse problem of the calculus of variations. Part 1: variational bootstrapping -- the methodThe method of variational completion allows one to transform an (in principle, arbitrary) system of partial differential equations -- based on an intuitive ``educated guess'' -- into the…Ludovic Ducobu, Nicoleta Voicu·Mar 22, 2024SaveLearn
Localization for quasi-one-dimensional Dirac operatorsWe consider a random family of Dirac operators on N parallel real lines, modelling for example a graphene nanoribbon. We establish a localization criterion involving properties on the group…Hakim Boumaza, Sylvain Zalczer·Mar 22, 2024SaveLearn
Which symmetry group for elementary particles with an electric charge today and in the past?In this paper, we revisit the Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We study the momentum map of the…Géry de Saxcé·Mar 21, 2024SaveLearn
Universality of mean-field antiferromagnetic order in an anisotropic 3D Hubbard model at half-fillingWe study the 3D anisotropic Hubbard model on a cubic lattice with hopping parameter t in the x- and y-directions and a possibly different hopping parameter tz in the z-direction; this…E. Langmann, J. Lenells·Mar 21, 2024SaveLearn
Dynamics of systems with varying number of particles: from Liouville equations to general master equations for open systemsA varying number of particles is one of the most relevant characteristics of systems of interest in nature and technology, ranging from the exchange of energy and matter with the surrounding…Mauricio J. del Razo, Luigi Delle Site·Mar 21, 2024SaveLearn
Analytic expression of the DOS for a new model of 1d-potential and its random perturbationIn this article we present comparisons between the spectrum of a one-dimensional Schr\"odinger operator for a particular periodic potential and for its restriction to a finite number of sites. We…Hakim Boumaza, Olivier Lafitte·Mar 21, 2024SaveLearn
Spin-orbit interaction with large spin in the semi-classical regimeWe consider the time dependent Schr\"odinger equation with a coupling spin-orbit in the semi-classical regime 0 and large spin number → +∞ such that…Didier Robert·Mar 21, 2024SaveLearn
On Intermediate Exceptional SeriesThe Freudenthal--Tits magic square m(A1,A2) for A=R,C,H,O of semi-simple Lie algebras can be extended by including the…Kimyeong Lee, Kaiwen Sun, Haowu Wang·Mar 21, 2024SaveLearn
Ferromagnetic Ising Model on multiregular random graphsA family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields.…Diego Alberici, Pierluigi Contucci, Emanuele Mingione et al.·Mar 21, 2024SaveLearn
Spectral Analysis of Lattice Schr\"odinger-Type Operators Associated with the Nonstationary Anderson Model and IntermittencyThe research explores a high irregularity, commonly referred to as intermittency, of the solution to the non-stationary parabolic Anderson problem: equation* ∂ u∂ t =…Dan Han, Stanislav Molchanov, Boris Vainberg·Mar 20, 2024SaveLearn
What is isotropic turbulence and why is it important?This article begins with an overview, then gives the precise definition of isotropic turbulence, and follows that with the basic conservation equations, in both real space and wavenumber space. These…David McComb·Mar 20, 2024SaveLearn
The Bayes Principle and Segal Axioms for P(φ)2, with application to Periodic CoversWe construct a P(φ)2 Gibbs state on infinite volume periodic surfaces (namely, with discrete ``time translations'') by analogy with 1-dimensional spin chains and establish the mass gap for our…Jiasheng Lin·Mar 19, 2024SaveLearn
Review on the probabilistic construction and Conformal bootstrap in Liouville TheoryIn the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a…Colin Guillarmou, Antti Kupiainen, Rémi Rhodes·Mar 19, 2024SaveLearn
The classification of general affine connections in Newton--Cartan geometry: Towards metric-affine Newton--Cartan gravityWe give a full classification of general affine connections on Galilei manifolds in terms of independently specifiable tensor fields. This generalises the well-known case of (torsional) Galilei…Philip K. Schwartz·Mar 19, 2024SaveLearn
Hamiltonian for a Bose gas with Contact InteractionsWe study the Hamiltonian for a three-dimensional Bose gas of N ≥ 3 spinless particles interacting via zero-range (also known as contact) interactions. Such interactions are encoded by (singular)…Daniele Ferretti, Alessandro Teta·Mar 19, 2024SaveLearn
Griffiths polynomials of Racah typeBivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the latter. A duality…Nicolas Crampe, Luc Frappat, Julien Gaboriaud et al.·Mar 18, 2024SaveLearn
Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians in magnetic fields and on general domainsWe prove Feynman-Kac formulas for the semigroups generated by selfadjoint operators in a class containing Fr\"ohlich Hamiltonians known from solid state physics. The latter model multi-polarons,…Benjamin Hinrichs, Oliver Matte·Mar 18, 2024SaveLearn
Quantum reference frames, measurement schemes and the type of local algebras in quantum field theoryWe develop an operational framework, combining relativistic quantum measurement theory with quantum reference frames (QRFs), in which local measurements of a quantum field on a background with…Christopher J. Fewster, Daan W. Janssen, Leon Deryck Loveridge et al.·Mar 18, 2024SaveLearn
Beyond directed hypergraphs: heterogeneous hypergraphs and spectral centralitiesThe study of hypergraphs has received a lot of attention over the past few years, however up until recently there has been no interest in systems where higher order interactions are not undirected.…Gonzalo Contreras-Aso, Regino Criado, Miguel Romance·Mar 18, 2024SaveLearn
Shadow Hamiltonians of structure-preserving integrators for Nambu mechanicsSymplectic integrators are widely implemented numerical integrators for Hamiltonian mechanics, which preserve the Hamiltonian structure (symplecticity) of the system. Although the symplectic…Atsushi Horikoshi·Mar 18, 2024SaveLearn
On the Ginzburg-Landau Energy of CornersIt is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance, the presence of…Michele Correggi, Emanuela L. Giacomelli, Ayman Kachmar·Mar 17, 2024SaveLearn
The exact solution of the Wegner flow equation with the Mielke generator for 3× 3 Hermitian matricesThe exact solution of the Wegner flow equation with the Mielke generator for 3× 3 Hermitian matrices is presented. The general solutions for N× N tridiagonal Hermitian matrices and…Tomasz Masłowski·Mar 17, 2024SaveLearn