Sharp decay thresholds for eigenvalues of discrete Schrödinger operators on Z2We study eigenvalues of discrete Schrödinger operators H=Δ+V on Z2, where Δ is the uncentered Laplacian, i.e., the un-normalized adjacency operator of Z2 and V decays at…Shirshendu Ganguly, Wencai Liu·Sep 14, 2026SaveLearn
The Robust Ten Martini ProblemWe solve the robust ten martini problem: Cantor spectrum with no arithmetic restriction on the irrational frequency for Type I analytic one-frequency quasiperiodic Schrodinger operators. We introduce…Lingrui Ge, Svetlana Jitomirskaya, Jiangong You·Sep 14, 2026SaveLearn
Boundary transmission and excursion geometry in the Lorentz mirror model: a numerical studyWe study boundary transmission and excursion geometry in the planar Lorentz mirror model through finite-volume numerical experiments. Cylinder penetration quantiles grow approximately linearly with…Jian Gu, Qin Hao·Sep 14, 2026SaveLearn
Liouville integrability of Beltrami-Maxwell fields with sources: A geometric theory of magnetic surfacesWe study classical Maxwell fields with non-trivial sources in four-dimensional Minkowski spacetime. In particular, contact and symplectic geometric aspects are discussed. As a point of departure, it…Shin-itiro Goto·Sep 13, 2026SaveLearn
Pauli Supported Invariants for Periodic Graphs-Derived HamiltoniansWe introduce a graph invariant obtained from Pauli decompositions of Hamiltonians derived from local graph neighborhoods. Given a rooted h-hop neighborhood, we construct a local adjacency operator,…Sarah Chehade, Andrew Vlasic, Rebekah Herrman et al.·Sep 13, 2026SaveLearn
Gauged AKSZ sigma modelsWe propose a new class of sigma models that extend AKSZ sigma models, which we refer to as gauged AKSZ sigma models. These models are constructed using QP-manifolds. The compatibility between the…Noriaki Ikeda·Sep 12, 2026SaveLearn
Exact admissibility radii for the lattice topological charge of quantum spin texturesHow much can a magnetic field change before a quantum spin texture loses its skyrmion charge? For a triangulated spin-s texture on N quantum sites, we determine the smallest change in its local…Raúl Sánchez Galán, Robert Wieser·Sep 12, 2026SaveLearn
Microscopic Parametric Correlations and Spectral Rigidity in the Non-Hermitian Threefold WayWe study microscopic spectral correlations between two nearby parameter values in the three non-Hermitian Gaussian bulk classes: A (unconstrained), AI (complex symmetric), and…Yan V Fyodorov·Sep 11, 2026SaveLearn
Optimal relaxation for Witten LindbladiansWe prove optimal trace-norm relaxation for the one-dimensional Lindbladian associated with the Witten differential a=h∂x+V' which annihilates the classical Gibbs density: if λ1(h) is…Simon Becker, Maciej Zworski·Sep 11, 2026SaveLearn
Trace formulas for TBGBecker et al. produced a striking trace formula for the sum of fourth powers of generalized magic angles, θ, for the chiral model of twisted bilayer graphene (TBG) with the exact…Henry Zeng·Sep 11, 2026SaveLearn
Extremal States of Multipartite Quantum Spin SystemsWe consider two quantum spin models on k-partite graphs. The system is assumed to be invariant under all permutations within any of the k sets. In the limit of infinitely many particles, the…Oskar Olander·Sep 11, 2026SaveLearn
Static equilibrium of the charged N-body problemWe study non-collision static equilibria in the charged \(N\)-body problem. Unlike the classical Newtonian case, such equilibria may exist because the effective interaction coefficients…Xuhui Hu, Qinglong Zhou·Sep 11, 2026SaveLearn
Random field approximation and local counting statistics for the weakly interacting thermal Bose gasWe study weakly interacting bosons on the three-dimensional torus at temperatures proportional to the critical temperature for Bose--Einstein condensation. We show that, as the expected particle…Andreas Deuchert, Marcin Napiórkowski, Błażej Ruba·Sep 11, 2026SaveLearn
Large N expansions of the partition function for Coulomb systems on the surface of a cylinderThe two-dimensional one-component plasma forms a droplet in the case that the one-body potential is proportional to the number of charges. Our interest is in studying the large N form of the…Bo-Jian Shen, Peter J. Forrester·Sep 11, 2026SaveLearn
Quasi-exactly solvable deformations of quantum systems associated with exceptional orthogonal polynomialsQuasi-exactly solvable (QES) deformations of harmonic and singular oscillators have been widely studied via a range of approaches. In this paper, we obtain families of new QES deformations of…Siyu Li, Ian Marquette, Sarah Post et al.·Sep 11, 2026SaveLearn
Division Algebras, Triality, and Exceptional MagicWe describe in explicit detail the rich relationship between division algebras, split composition algebras, triality, Clifford algebras, spinors, triality Lie algebras, generalized reflections,…A. Garrett Lisi·Sep 10, 2026SaveLearn
A closed signature formula for the Katz-Long-Moody Hermitian formThe Katz-Long-Moody construction associates to a representation of the semidirect product of a free group and a braid group, defined by the Artin action, and a nonzero parameter a new representation…Haru Negami·Sep 10, 2026SaveLearn
On asymptotic expansions of the density of states for Poisson distributed random Schrödinger operatorsWe study a random Schrödinger operator with a potential distributed according to a Poisson process. Asymptotic expansions for traces of resolvents in the limit of small disorder are derived. Explicit…Jan Fischer, David Hasler, Jannis Koberstein·Sep 10, 2026SaveLearn
A proof of the Hodge universality conjecture at nonzero dispersionWe prove that a scalar tau-symmetric Hamiltonian deformation of the Riemann hierarchy in generalized standard form is uniquely determined by the nonzero coefficient of ux2 and the coefficients of…Francisco Hernández Iglesias·Sep 10, 2026SaveLearn
Recent Advances on a Model for the Electromagnetic Dirac Field at Thermal EquilibriumWe review recent progress on a model for the relativistic electron-positron field interacting with a classical electromagnetic field at positive temperature. The ultimate goal is to advance our…Umberto Morellini·Sep 10, 2026SaveLearn
The kinematic structures and the inertial geometry of a moving chargeWe ask how much of the geometry a charged particle moves in is fixed by its motion, and how much a particle must bring. We ask of a symplectic structure only that it relate velocity to momentum as…César S. López-Monsalvo·Sep 10, 2026SaveLearn
Why we should condition denoising diffusion generative models on windows of past observationsData assimilation (DA) is, traditionally, a cycling process that relies on time-dependent priors to propagate information from past observations to future cycles. Using denoising diffusion generative…Matthias Morzfeld, Daniel Hodyss·Sep 10, 2026SaveLearn
Probabilistic representation and limit theorems for particle numbers of quasi-free statesWe study the particle number distribution of locally interacting bosonic quasi- free states, which arise in various areas of mathematical physics. We show that the particle number decomposes into an…Fanch Coudreuse, Simone Rademacher, Oliver Tse·Sep 9, 2026SaveLearn
A Time-Frequency Framework for GKP CodesWe develop a time--frequency framework for lattice GKP codes in which ideal codewords are realized in the modulation space M∞ and identified, through a vector-valued Zak transform, with a…Franz Luef, Eduard Ortega·Sep 9, 2026SaveLearn
Henstock--Kurzweil Gauge Integral in the Non--Gaussian Regime: A Machine--Verified ConstructionWe develop a machine-checked construction of non-Gaussian functional integrals using the Henstock--Kurzweil gauge integral and Chernoff product approximations. The central object is a finite family…Yuri N. Berdinsky·Sep 9, 2026SaveLearn