Distance Energies and Negative Type of Flat ToriLet \(TΛ= Rd/Λ\), \(d≥2\), be a flat torus with quotient metric \(ρΛ\), and consider the distance energies \(Iα(μ)= ρΛ(x,y)α\,dμ(x)\,dμ(y)\) of Borel probability measures \(μ\).…Ye Zhou·Sep 4, 2026SaveLearn
Representation Theory of Canonical Commutation Relations Arising from the Quantization of the Klein-Gordon Equation with an External PotentialWe investigate the Weyl representation of the canonical commutation relations for a model describing a quantized massive scalar field under the influence of an external potential. The main problem is…Yasumichi Matsuzawa, Itaru Sasaki, Akito Suzuki·Sep 4, 2026SaveLearn
Finite-Corner Reconstruction and Separation for Cones of Normal MapsWe develop a finite-corner framework for convex cones of normal maps between \( B( H)\) and \( B( K)\). The basic structural assumption is stability under finite…Mohsen Kian, Fuad Kittaneh·Sep 4, 2026SaveLearn
Derived Associative Algebras and Cyclic Cohomology of Q-manifoldsLoday's derived product is revisited in the setting of Q-manifolds, i.e., supermanifolds equipped with an odd vector field that `squares to zero'. We interpret the Grassmann odd product as a…Andrew James Bruce·Sep 4, 2026SaveLearn
A simple derivation of the zero-temperature BCS functional from the reduced BCS HamiltonianWe consider a grand-canonical reduced BCS Hamiltonian on the full fermionic Fock space with an attractive pairing interaction supported in an energy shell around the Fermi surface. For fixed chemical…Christian Hainzl, Riccardo Panza·Sep 3, 2026SaveLearn
Limits of Stochastic Semigroups and Block-Triangular MajorisationWe investigate limits of semigroups of stochastic matrices defined by their invariant distribution. Given probability vectors γ(β) depending on a parameter β, we introduce a notion of convergence…Fabio Deelan Cunden, Jakub Czartowski, Giovanni Gramegna et al.·Sep 3, 2026SaveLearn
Classification of abstract Bose field modelsWe classify a class of abstract Bose field models in quantum field theory up to unitary equivalence. The class includes abstract free Bose field models, abstract van Hove--Miyatake models, and…Yasumichi Matsuzawa·Sep 3, 2026SaveLearn
The conductivity matrix at the topological phase transitionFor a general class of two-dimensional non-interacting semi-metallic electron systems on a lattice, we derive an explicit formula for the whole conductivity matrix, by using Euclidean many-body…Simone Fabbri, Giovanna Marcelli, Alessandro Giuliani·Sep 3, 2026SaveLearn
Controllability, returning waves and scattering without reverberation in 3D acoustic dynamic systemThe dynamic acoustic scattering system is governed by the wave equation utt-Δu+qu=0 in R3,\,\,\,-∞<t<∞, with a compactly supported potential q and infinitely distant sources…Mikhail I. Belishev, Aleksei F. Vakulenko·Sep 3, 2026SaveLearn
Closed-form evaluation of the cyclic four-electron atomic correlation integralFor positive exponents α1,…,α4 we evaluate the cyclic four-electron Slater integral, the topology recorded as case V in Bonham's 1965 classification, in a finite real expression of…Jonas Matuzas·Sep 2, 2026SaveLearn
Optimal bounds for embedded eigenvalues of one-dimensional discrete Schrödinger operators with decaying potentialsIn this paper, we consider one-dimensional discrete Schrödinger operators align Hu(n)=(Δ+V)u(n) align on 2(N) with a self-adjoint boundary condition at n=0,…Jifeng Chu, Wencai Liu, Kang Lyu·Sep 2, 2026SaveLearn
Computational Algorithms for Invariant Reduction of Variational FormsSymmetry reductions of partial differential equations (PDEs) inherit more geometric structures than other types of reductions: invariant conservation laws, variational structures, and, under suitable…Kostya Druzhkov, Alexey Shevyakov·Sep 2, 2026SaveLearn
Estimating the asymptotics of integer partitions in intermediate dimensions (d = 3,4,5,6)It was recently shown by Yeliussizov Yeliussizov that integer partitions in dimensions d ≥ 7 asymptotically grow strictly faster than MacMahon numbers. As MacMahon numbers match with…Avinandan Mondal·Sep 2, 2026SaveLearn
Asymptotic long-range order for the XY-model on random geometric graphsWe study the classical XY-model on random geometric graphs Gn, , which are obtained by sampling n ∈ N independent points in a finite domain $Ω⊂…Margherita Disertori, Max Mihailescu·Sep 2, 2026SaveLearn
Ruelle--Pollicott Theory for Metastable Systems: A Unified Framework for Tipping TransitionsTipping points---abrupt, potentially irreversible reorganizations of a system's statistical state---are commonly anticipated through critical slowing down: recovery slows, autocorrelation and…Mickaël D. Chekroun, Valerio Lucarini·Sep 2, 2026SaveLearn
Bimaterial Eshelby's inclusion problem for polyhedraThis paper presents the closed-form Eshelby's tensor for an arbitrarily oriented polyhedral inclusion in a bimaterial domain under general uniform eigenstrain. Existing bimaterial solutions are…Chunlin Wu, Huiming Yin·Sep 2, 2026SaveLearn
Precise spectral asymptotics, exponential localization, and spectral gap estimates for the three-boson lattice Schrödinger operatorWe study three identical bosons with contact attraction of strength mu on the square lattice at total quasimomentum K = 0 and K = pi. First, at K = 0, for all sufficiently large mu there are exactly…Janikul Abdullaev, Abdumalik Eshniyozov, Abdikhurayra Toshturdiev et al.·Sep 2, 2026SaveLearn
Heat transfer problem of a dense gas described by the Enskog equation with a modification of the Enskog factorHeat transfer in a dense gas between two parallel plates is studied for assessing the quantitative difference of two variants of the Enskog equation, i.e., the original Enskog equation and the Enskog…Shigeru Takata, Soma Sakata, Masanari Hattori·Sep 2, 2026SaveLearn
Superintegrability of stratified symplectic spacesWe define the notion of superintegrability of a Hamiltonian system on a stratified symplectic space. We focus on spin Calogero-Moser-Sutherland (sCMS) systems, where the phase space is a stratified…Zhuo Chen, Kai Jiang, Nicolai Reshetikhin et al.·Sep 1, 2026SaveLearn
On the Convergence of Metadynamics with Gaussian HillsMetadynamics is a class of enhanced-sampling methods that is widely used in molecular modeling. Here, we consider metadynamics with a one-dimensional collective variable and explore the limitations…Andrey Badanin, Olga Rogacheva·Sep 1, 2026SaveLearn
Fractional oscillators with fractional damping in the presence of external forcesWe investigate how a fractional oscillator reacts to external forces when the dynamic law includes a damping term that is explicitly fractional. The corresponding three-parametric fractional…Fernando Olivar-Romero, Oscar Rosas-Ortiz·Sep 1, 2026SaveLearn
Applying the convolution theorem to the two-dimensional magnetic inverse problemA collection and clarification is given of the key mathematical details of the method of applying the convolution theorem as part of the solution to the two-dimensional magnetic inverse problem:…Michael T. M. Woodley·Sep 1, 2026SaveLearn
Extended Body PropagatorsThree seemingly distinct extended-body propagators devised by Ansoldi et al., Erbin et al., and Stanford et al.\ respectively arise in completely different settings, though each can be considered a…Rory O'Dwyer·Sep 1, 2026SaveLearn
A1 - Coulomb branches over finite fields and Selberg Character sumsMotivated by mirror symmetry, we study exponential sums over the Fq-points of the A1 Coulomb branch. We show that their fiberwise structure is governed by polynomial Gauss sums,…Junzhe Lyu, Andrey Smirnov·Sep 1, 2026SaveLearn
A general improbability result for non-collision singularities as subsystems with at most four particlesNon-collision singularities of the n-body problem are initial conditions for which no global solution exists and which, however, do not lead to a collision in the limit; i.e., the moment of inertia…Manuel Quaschner·Sep 1, 2026SaveLearn