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228 papers in math.SP · page 1

  1. math.FA 2026-05-22 reviewed
    Crystalline measures can fail translation boundedness as distributions

    On almost periodicity in crystalline measures

    Jan Maz\'a\v{c} +2

  2. math.SP 2026-05-22 reviewed
    Random twists produce almost sure Weyl law for transfer operator singular values

    Randomly twisted transfer operators and singular values statistics

    Fr\'ed\'eric Naud

  3. math.DG 2026-05-22 reviewed
    Tree Ricci eigenvalues converge to local limit under leaf attachment

    Spectral Monotonicity under Leaf Attachment and Limiting Behavior in Discrete Einstein Trees

    Shuliang Bai +2

  4. math.SP 2026-05-21 reviewed
    CEV operator spectra classified for all elasticity regimes

    A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage

    Filippo Beretta +1

  5. math.SP 2026-05-21 reviewed
    Spectral radius maximizers identified for minimally (k,k)-edge-connected graphs

    Minimally $(k,k)$-edge-connected graphs via spectral radius

    Yu Wang +2

  6. math.OC 2026-05-20 reviewed
    Mixed atomic-continuous measures recovered from moments

    On Moment-Based Recovery of Measures with Atomic and Continuous Parts

    Ruben Karapetyan +3

  7. math.SP 2026-05-20 reviewed
    Large convex hyperbolic domains have critical-point-free second eigenfunctions

    Hot spots in convex hyperbolic planar domains with small eigenvalues

    Lawford Hatcher

  8. math-ph 2026-05-20 reviewed
    Any extension of the limiting Jacobi operator arises along some sequence to zero

    Essentially singular limits of Jacobi operators and applications to higher-order squeezing

    Felix Fischer +2

  9. math-ph 2026-05-20 reviewed
    Relative trace formula yields Casimir energy for Neumann obstacles

    Relative trace formulas for obstacle scattering with Neumann and transmission boundary conditions

    Arne Hofmann +1

  10. math.AP 2026-05-19 reviewed
    p-Laplacian essential spectrum equals Poincaré constant at infinity

    Essential spectrum for the $p-$Laplacian

    Lorenzo Brasco +2

  11. math-ph 2026-05-19 reviewed
    Weakest quantization conditions for deformed Schrödinger equations derived

    Higher-Rank Connections and Deformed Schr\"odinger Operators

    Jonah Baerman +2

  12. math-ph 2026-05-19 reviewed
    Characterization yields optimal Hardy weight for fractional Laplacians

    Positive Criticality and Optimal Hardy Inequality for Fractional Laplacians

    Philipp Hake +2

  13. math.AP 2026-05-18 reviewed
    Analyticity bounds nested nodal loops in Laplace sums

    Nested nodal loops for sums of Laplace eigenfunctions

    Robert Koirala

  14. math.NT 2026-05-17 reviewed
    Causal operators on Riemann surfaces recover elliptic L-function factors

    A Local Hilbert--P\'olya Realisation for Elliptic Curve $L$-Functions

    Kejun Liu

  15. math.NT 2026-05-17 reviewed
    2x2 causal pencils match elliptic curve Euler factors

    A Local Hilbert--P\'olya Realisation for Elliptic Curve $L$-Functions

    Kejun Liu

  16. math.AP 2026-05-17 reviewed
    Mehler formula extends to oscillator in Aharonov-Bohm field

    Time dependent Schr\"odinger equation for harmonic oscillator in the Aharonov-Bohm magnetic field

    Jiyu Fan +1

  17. math.SP 2026-05-15 reviewed
    Fractional Laplacians inherit L^p eigenvalue bounds on manifolds

    Eigenvalue bounds for non-self-adjoint Schr\"odinger operators and pseudodifferential generalizations

    Eduard Stefanescu

  18. math.SP 2026-05-15 reviewed
  19. math.CO 2026-05-14 reviewed
    One eigenvector certifies graph conformal rigidity

    Conformal Rigidity of Graphs: Subdifferentials and Orbit-Isometries

    Andrew Niu

  20. math.NA 2026-05-13 reviewed
    Estimator flags noisy eigenvalues in finite data spectra

    Sampling pseudospectrum for data-driven matrices

    Caroline Wormell

  21. math.CO 2026-05-13 reviewed
    Cayley graphs revive quantum states at time 2π/p

    Quantum Fractional Revival and Entanglement Entropy in Unitary Cayley Graphs

    Duaa Abdullah

  22. math.AP 2026-05-13 reviewed
    Keller-Segel system ill-posed in L^q spaces for dimensions 3-9

    Spectral instability and non-uniqueness of mild solutions for the Keller-Segel system

    Eliseo Luongo +1

  23. math.DG 2026-05-13 reviewed
    Determinantal processes converge as scaling parameter p increases

    Determinantal point processes associated with the Bochner-Schr\"odinger operator

    Yuri A. Kordyukov

  24. math.DG 2026-05-13 reviewed
    Morse index of critical hyperbolic catenoid is 4 near a=1/2

    Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$

    Alexander Pigazzini

  25. math.DG 2026-05-13 reviewed
    Hyperbolic catenoids have index 4 near a=1/2

    Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$

    Alexander Pigazzini

  26. math.DG 2026-05-13 reviewed
    Hyperbolic catenoid has index 4 near a=1/2 limit

    Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$

    Alexander Pigazzini

  27. math.SP 2026-05-13 reviewed
    Closed-form spectra approximate random hierarchical networks

    Ultrametric Graphons and Hierarchical Community Networks: Spectral Theory and Applications

    \'Angel Alfredo Mor\'an Ledezma

  28. cs.MA 2026-05-12 reviewed
    Successor spectra rank LLM topologies by three failure modes

    Predictive Maps of Multi-Agent Reasoning: A Successor-Representation Spectrum for LLM Communication Topologies

    Ethan Parks +1

  29. cs.MA 2026-05-12 reviewed
    Spectral properties of successor representations rank multi-agent LLM communication…

    Predictive Maps of Multi-Agent Reasoning: A Successor-Representation Spectrum for LLM Communication Topologies

    Ethan Parks +1

  30. math.DG 2026-05-11 reviewed
    Hyperbolic catenoid has Robin nullity two in |k|=1 mode

    Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid

    Alexander Pigazzini

  31. math.SP 2026-05-11 reviewed
    Real eigenfunctions still produce non-trivial Berry phase

    Berry's phase under topology change

    Pavel Kurasov +2

  32. math.FA 2026-05-10 reviewed
    Hypoelliptic negative powers obey Weyl asymptotics on graded groups

    Weyl asymptotic formulas in the nilpotent Lie group setting

    Shiqi Liu +3

  33. math-ph 2026-05-08 reviewed
    Strong-coupling limit produces effective model for periodic band inversion

    A mathematical study of periodic band inversion

    Tyler Guo +1

  34. math.SP 2026-05-08 reviewed
    Quantum variance vanishes for operators on large hyperbolic surfaces

    Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators

    Nalini Anantharaman +1

  35. math.DG 2026-05-08 reviewed
    Negative curvature near trapped geodesics yields lossless Strichartz on conic surfaces

    Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds

    Zhexing Zhang

  36. math-ph 2026-05-08 reviewed
    Energy-truncated Hamiltonians stable uniformly in volume

    Volume-Independent Spectral Stability of Energy-Truncated Effective Hamiltonians in Quantum Spin Systems

    Ayumi Ukai

  37. math.DG 2026-05-08 reviewed
    New invariant c_δ decides when Weyl law holds on manifolds

    The classical Weyl law for Schr\"odinger operators on complete Riemannian manifolds

    Maxim Braverman +2

  38. stat.ML 2026-05-07 reviewed
    Attention weights follow top eigenvector of position matrix to maximize signal recovery

    How Does Attention Help? Insights from Random Matrices on Signal Recovery from Sequence Models

    Mohamed El Amine Seddik

  39. math.AP 2026-05-07 reviewed
    Eigenfunctions of quantum cat maps equidistribute on the torus

    Equidistribution of Eigenfunctions of Quantum Cat Maps

    Robert Koirala

  40. math.SP 2026-05-07 reviewed
    4-cycle stochastic matrices have their eigenvalues fully mapped

    On the Spectral Region of 4-Cycle Stochastic Matrices

    Brando Vagenende +3

  41. math.SP 2026-05-07 reviewed
    Weighted log integrability forces Verblunsky coefficients into ℓ^{2m+2}

    Necessary Conditions for Single-Critical-Point Higher-Order Szeg\H{o} Sum Rules in OPUC

    Daxiong Piao

  42. math.SP 2026-05-07 reviewed
    Asymptotics locate all eigenvalues of perturbed Toeplitz matrices to O(1/n^3)

    Eigenvalues of one family of tridiagonal skew-self-adjoint Toeplitz matrices with complex perturbations on the corner

    C. Bernardin +3

  43. math.DG 2026-05-06 reviewed
    1-form spectrum determines homogeneous 3-sphere metrics

    Hodge Laplacian on $1$-forms of homogeneous $3$-spheres

    Jonas Henkel +1

  44. math.SP 2026-05-06 reviewed
    Riesz property holds for L^r perturbations of degenerate oscillators

    Riesz property in the case of multiple eigenvalues

    Boris Mityagin +1

  45. math.SP 2026-05-05 reviewed
    Equilateral triangle uniquely minimizes eigenvalue functional

    Sharp Dirichlet eigenvalue inequalities on triangles

    Ryoki Endo +2

  46. math-ph 2026-05-05 reviewed
    Borel resummation yields closed forms for two Laplacian determinants

    Two Regularized Determinants of Laplacian through Resurgence theory

    Wen Shen +1

  47. math.DS 2026-05-04 reviewed
    Isospectral graphons arise from different geometries

    Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives

    \'Agnes Backhausz +2

  48. math.CO 2026-05-04 reviewed
    Matrix products always non-negative when graph condition met

    A characterization for positive semi-definite matrix products

    Frederik Garbe +1

  49. math.AP 2026-05-04 reviewed
    Gaussian X-ray normal operators share eigenfunctions with oscillator

    Gaussian-weighted normal operators on Euclidean space

    Yuzhou Joey Zou

  50. math.DS 2026-05-04 reviewed
    Lyapunov exponent stays continuous for Gevrey cocycles when s+η is between 1 and 2

    Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles

    Xueyin Wang