Coherent energy cascades in nonlinear disordered HamiltoniansThe familiar wave kinetic theory revolves around turbulent energy cascades characterized by random phases of the individual normal modes. By contrast, recent years have revealed turbulent cascades…Anxo Biasi, Brad Cownden, Oleg Evnin et al.·Sep 28, 2026SaveLearn
GR-FM: Geometrically Regularized Flow Matching for SDF-Based Medical Image SegmentationMedical image segmentation remains challenging in terms of accurate boundary localization and complex-structure preservation, as target regions often exhibit weak boundaries, fine-grained structures,…Yuxin Ai, Zhichang Guo, Fanghui Song et al.·Sep 28, 2026SaveLearn
A renormalized Lee Model: resolvent and spectral analysisWe construct and analyze a renormalized three-dimensional massive Lee model; its renormalized Hamiltonian is defined intrinsically through an abstract construction which explicitly provides the…Claudio Cacciapuoti, Federica Muscolino, Diego Noja et al.·Sep 28, 2026SaveLearn
Notes on Magnetostatic Interactions in R3A compact formulation of magnetostatics is presented. Without using constitutive relations, including the aether relations, an expression is proposed for the potential energy of a region carrying a…Vladimir Gol'dshtein, Wolfgang H. Müller, Reuven Segev·Sep 28, 2026SaveLearn
Scattering Measures and Information GeometryWe formulate scattering experiments in terms of parameterized finite measures on outcome spaces and develop the associated information geometry defined by the Fisher metric. The decomposition of a…Tatsuro Oda·Sep 28, 2026SaveLearn
Classical BV PushforwardWe define the classical BV pushforward and establish its two main properties. First, we prove that it maps solutions of the classical master equation (CME) on the total space to solutions of the CME…Xin Geng, Andrey Losev, Vyacheslav Lysov·Sep 28, 2026SaveLearn
Discontinuity of Continuum Fermion DynamicsWe study the Heisenberg dynamics of continuum fermions in d interacting through a pair potential. For a large class of nonconstant pair potentials and under suitable assumptions on the…Oliver Siebert·Sep 28, 2026SaveLearn
The equivalence of topological indices for U(1)2-symmetric quantum spin chainsSymmetry-protected topological (SPT) phases in quantum spin chains are distinguished by topological indices. Ogata's operator-algebraic indices apply to a broad range of symmetry classes without…Hal Tasaki·Sep 28, 2026SaveLearn
Homogenized graphs with spectrally embedded defect statesBy homogenizing high-contrast periodic metric graphs, we create continuous media that admit bound states produced by local defects at energies embedded in the continuous spectrum. This is achieved by…Kirill D. Cherednichenko, Stephen P. Shipman·Sep 27, 2026SaveLearn
p-adic spectral zeta functions via the inverse Stieltjes transformSpectral zeta functions provide a standard tool for regularizing determinants of differential operators in quantum physics. In a previous paper (J. Math. Phys. 66: 083505, 2025), we introduced a…Su Hu, Min-Soo Kim·Sep 27, 2026SaveLearn
Effective atom-dimer bands of three-body lattice systems at strong coupling: exact critical mass ratios and a statistics-quasimomentum dualityWe study three particles on the square lattice with contact interactions of infinite strength, for all total quasimomenta, for three statistics: three identical bosons, two identical fermions plus a…Mikhail V. Dolgopolov·Sep 27, 2026SaveLearn
Minimal output entropy for the channels that add or remove a box of a Young diagram, and a Pauli principle for every permutation symmetryTwo irreducible representations of U(d) whose Young diagrams differ by a single box are connected by four covariant quantum channels: the box can be removed or added, and one keeps either the new…Robin Reuvers·Sep 27, 2026SaveLearn
Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson modelsWe study local eigenvalue statistics and dynamical (de)-localization properties for long-range Anderson models, including the fractional Anderson model. These systems are random Anderson-type…Peter D. Hislop, Rodrigo Matos, Constanza Rojas-Molina·Sep 27, 2026SaveLearn
Absolute and relative invariants for low-dimensional topological insulators[An extended abstract is provided in-text] Motivated by topological insulators, this paper analyzes classification schemes for projection-valued maps on d-dimensional tori, d 2, subject to…Federico Manzoni, Domenico Monaco, Gabriele Peluso·Sep 26, 2026SaveLearn
The Hamilton--Jacobi and Symplectic Analysis for Extended Hořava GravityThe Hamilton-Jacobi [HJ] analysis and the Faddeev-Jackiw [FJ] quantization for the linearized, non-projectable λR model, extended by the lowest-order term of Blas, Pujolàs, and Sibiryakov and the…Diana Vanessa Castro-Luna, Alberto Escalante·Sep 26, 2026SaveLearn
Local Determinant Defects and Low-Energy Subspace Stability in Semifinite von Neumann AlgebrasWe give a finite-temperature test for the stability of low-energy spectral subspaces. The test uses a local determinant defect for the alpha-z Renyi kernel of two Gibbs states and bounds the tracial…Seyed Mahmoud Manjegani·Sep 26, 2026SaveLearn
Locality of KMS states for infinite fermionic lattice systemsWe study how thermal equilibrium states of infinite fermionic lattices respond to perturbations of the Hamiltonian. Our main result concerns extensive perturbations of a chosen KMS state. We show…Lennart Becker·Sep 25, 2026SaveLearn
Rotationally Symmetric Zoll Metrics with a Cubic IntegralWe introduce a new method for constructing Zoll metrics that admit first integrals polynomial in the momenta. The method uses Funk's form of the metric together with an algebraic relation between…Holger R. Dullin, Vladimir S. Matveev, Gleb P. Palshin et al.·Sep 25, 2026SaveLearn
Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operatorsWe analyze a general class of difference operators H = T + V on 2(d), where V is a multi-well potential and…Markus Klein, Elke Rosenberger·Sep 25, 2026SaveLearn
Categorical spin-networks: state-sum invariants of 4-manifolds from higher-gauge theoryIn this work, we define (3+1)-dimensional topological quantum field theories (TQFTs) and their lattice realizations with input data given by a pivotal fusion 2-category; more precisely, our…Hank Chen, Zhian Jia, Ran Luo et al.·Sep 25, 2026SaveLearn
Differential Recursions, Projective Discriminants, and Algebraic Generating FunctionsWe study two hierarchies of bivariate generating functions defined by differential recursions: a self-dual hierarchy and a reduced-symmetry hierarchy. Their rational coefficient functions produce…S. Voloshyn·Sep 25, 2026SaveLearn
Unifying non-Markovian Dynamics and Agent Heterogeneity in Scalable Stochastic NetworksStochastic processes underpin dynamics across biology, physics, epidemiology, and finance, yet accurately simulating them remains a major challenge. Classical approaches such as the Gillespie…Aurelien Pelissier, Miroslav Phan, Didier Le Bail et al.·Sep 25, 2026SaveLearn
A Kinetic Theory Approach To Ordered Fluids: Direct Simulation Monte Carlo MethodsWe present a direct simulation Monte Carlo (DSMC) method for the kinetic theory of ordered fluids recently introduced by the authors. The microscopic constituents of these fluids carry an order…José A. Carrillo, Patrick E. Farrell, Andrea Medaglia et al.·Sep 25, 2026SaveLearn
Interpolating walk between discrete-time quantum walk and its intrinsic random walk on graphWe consider an interpolation with the parameter p∈ [0,1] between the discrete-time quantum (p=0) and its intrinsic random (p=1) walks on a finite connected graph. Its time evolution is…Yusuke Higuchi, Etsuo Segawa, Honoka Shiratori et al.·Sep 25, 2026SaveLearn
Para families of orthogonal polynomialsThe para-Krawtchouk polynomials arose in the search for spin chains with perfect state transfer; the para-Racah, q-para-Racah and para-Bannai--Ito polynomials followed, obtained through singular…Stéphane Z. Beaulac, Nicolas Crampé, Quentin Labriet et al.·Sep 24, 2026SaveLearn