A Lee-Huang-Yang type expansion for the thermodynamic energy density of a dilute mixture of Bose gasesWe consider a dilute gas in 3D composed of two species of bosons interacting through positive inter-species and intra-species pairwise potentials. We prove a second order expansion for the energy…Marco Olivieri·May 21, 2025SaveLearn
Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillatorsWe present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of various models, both continuous and discrete. This algebraic structure characterizes the isotropic…Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini·May 21, 2025SaveLearn
Lecture notes on large deviations in non-equilibrium diffusive systemsThese notes are a written version of lectures given in the 2024 Les Houches Summer School on Large deviations and applications. They are are based on a series of works published over the last…Bernard Derrida·May 21, 2025SaveLearn
Hamiltonian reductions, scalings, and effective wave models in stratified fluidsWe apply Poisson reduction techniques to describe asymptotic fully nonlinear models of 2-layer sharply stratified fluids in the Hamiltonian framework. We start by considering the Benjamin Hamiltonian…Gregorio Falqui, Eleonora Sforza·May 21, 2025SaveLearn
Gap modes in Arnold tongues and their topological originsGap modes in a modified Mathieu equation, perturbed by a Dirac delta potential, are investigated. It is proved that the modified Mathieu equation admits stable isolated gap modes with topological…Andrew Brown, Hong Qin·May 21, 2025SaveLearn
Exact spin helix eigenstates in the anisotropic spin-s Heisenberg model with arbitrary dimensionsSpin helix states-characterized by their spatially modulated spin textures-are exact eigenstates of the one-dimensional anisotropic spin-12 Heisenberg model under specific parameter…Mingchen Zheng, Chenguang Liang, Shu Chen et al.·May 21, 2025SaveLearn
Universal cumulants and conformal invariance in annihilating random walks with pair depositionWe consider annihilating random walks on the finite one-dimensional integer torus with deposition of pairs of particles, conditioned on an atypical jump activity. All cumulants of the activity,…Dragi Karevski, Gunter M Schütz, Ali Zahra·May 21, 2025SaveLearn
A finite dimensional trace formulaWe take the trace of Von-Neumann's ergodic theorem and get a trace formula of a unitary matrix family. It is an extension of Poisson summation formula in higher dimension. We also construct a family…Tianhong Zhao·May 20, 2025SaveLearn
On the Mathematical Theory of Quantum Stochastic Filtering Equations for Mixed StatesQuantum filtering equations for mixed states were developed in 80th of the last century. Since then the problem of building a rigorous mathematical theory for these equations in the basic…Vassili N Kolokoltsov·May 20, 2025SaveLearn
Real Spectra in PT Symmetry Hamiltonians using Tridiagonal Representation ApproachWe consider the solution of PT symmetry Hamiltonians using the technique of tridiagonal representation approach. This methodology provides more accurate results and proper depiction of the…Tunde Joseph Taiwo·May 20, 2025SaveLearn
The Relative Fermionic Entropy in Two-Dimensional Rindler SpacetimeThe fermionic relative entropy in two-dimensional Rindler spacetime is studied using both modular theory and the reduced one-particle density operators. The methods and results are compared. A…Felix Finster, Albert Much·May 20, 2025SaveLearn
A novel variant of rhombic Penrose tilingWe present a novel variant of a planar quasiperiodic tiling with tenfold symmetry, employing the same thick and thin rhombuses as the celebrated rhombic Penrose tiling. Despite its distinct visual…Nobuhisa Fujita, Komajiro Niizeki·May 20, 2025SaveLearn
Remarks on orthogonality spacesWe provide two results. The first gives a finite graph constructed from consideration of mutually unbiased bases that occurs as a subgraph of the orthogonality space of C3 but not of that…John Harding, Remi Salinas Schmeis·May 20, 2025SaveLearn
Nonlinear Lie-Hamilton systems: t-Dependent curved oscillators and Kepler-Coulomb HamiltoniansThe Lie-Hamilton approach for t-dependent Hamiltonians is extended to cover the so-called nonlinear Lie-Hamilton systems, which are no longer related to a linear t-dependent combination of a…Rutwig Campoamor-Stursberg, Francisco J. Herranz, Javier de Lucas·May 20, 2025SaveLearn
Principal 3-Bundles with Adjusted ConnectionsWe explore the notion of an adjusted connection for principal 3-bundles. We first derive the explicit form of an adjustment datum for 3-term L∞-algebras, which allows us to give a local…Gianni Gagliardo, Christian Saemann, Roberto Tellez-Dominguez·May 19, 2025SaveLearn
Multiple-Order Tensor Field Theory: Enumeration of unitary invariant observablesIn Tensor Field Theory (TFT), observables are defined through tensor field contractions that produce unitary invariants for complex-valued tensor fields. Traditionally, these observables are…Joseph Ben Geloun, Arnauld Solente·May 19, 2025SaveLearn
On the mean-field limit of Vlasov-Poisson-Fokker-Planck equationsThe derivation of effective descriptions for interacting many-body systems is an important branch of applied mathematics. We prove a propagation of chaos result for a system of N particles subject…Li Chen, Jinwook Jung, Peter Pickl et al.·May 19, 2025SaveLearn
On the superintegrability of the Gaussian β ensemble and its (q,t) generalisationIn the present context, superintegrability is a property of certain probability density functions coming from matrix models, which relates to the average over a distinguished basis of symmetric…Sung-Soo Byun, Peter J. Forrester·May 19, 2025SaveLearn
The Flea on the Magnetic ElephantWe investigate a two-dimensional magnetic Laplacian with two radially symmetric magnetic wells. Its spectral properties are determined by the tunneling between them. If the tunneling is weak and the…Pavel Exner, Léo Morin·May 19, 2025SaveLearn
Spin-weighted spherical harmonics as massless angular momentum eigenstates and their role in obstructing spin-orbital decompositionsWe show that for massless helicity h particles, the angular momentum eigenstates are given in an appropriate coordinate system by the spin-weighted spherical harmonics -hYjm of…Eric Palmerduca, Hong Qin·May 19, 2025SaveLearn
Asymptotics for a class of planar orthogonal polynomials and truncated unitary matricesWe carry out the asymptotic analysis as n ∞ of a class of orthogonal polynomials pn(z) of degree n, defined with respect to the planar measure equation* dμ(z) =…Alfredo Deaño, Kenneth T-R McLaughlin, Leslie Molag et al.·May 19, 2025SaveLearn
Semigroups on generalized Sobolev spaces associated with Laplacians with applications Stochastic PDEs with singular boundary conditionsLaplacians associated with domains with singular boundary conditions and are considered together with semigroups on generalized Sobolev spaces, they generate. Applications are given to stochastic…Sergio Albeverio, Zdzisław Brzeźniak, Szymon Peszat·May 18, 2025SaveLearn
Spectral Decomposition of Euler-Mellin IntegralsWe consider the spectral decomposition of singularities of integrals and their integrands. Our results apply to any integral of Euler-Mellin type, and thus especially to every scalar Feynman…Martin Helmer, Felix Tellander·May 18, 2025SaveLearn
Existence of Friedrich-Wintgen Bound States in the Continuum: Cavity with a Thin Waveguide OpeningBound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances, a phenomenon…Jiaxin Zhou, Wangtao Lu, Ya Yan Lu·May 18, 2025SaveLearn
Spectral moments of complex and symplectic non-Hermitian random matricesWe study non-Hermitian random matrices belonging to the symmetry classes of the complex and symplectic Ginibre ensemble, and present a unifying and systematic framework for analysing mixed spectral…Gernot Akemann, Sung-Soo Byun, Seungjoon Oh·May 18, 2025SaveLearn