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99 papers in math.SP · page 1
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Cayley graphs revive quantum states at time 2π/p
Quantum Fractional Revival and Entanglement Entropy in Unitary Cayley Graphs
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Successor spectra rank LLM topologies by three failure modes
Predictive Maps of Multi-Agent Reasoning: A Successor-Representation Spectrum for LLM Communication Topologies
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Hyperbolic catenoid has Robin nullity two in |k|=1 mode
Robin nullity in mode $|k|=1$ and asymptotic radius of the critical hyperbolic catenoid
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Real eigenfunctions still produce non-trivial Berry phase
Berry's phase under topology change
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Hypoelliptic negative powers obey Weyl asymptotics on graded groups
Weyl asymptotic formulas in the nilpotent Lie group setting
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Strong-coupling limit produces effective model for periodic band inversion
A mathematical study of periodic band inversion
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Quantum variance vanishes for operators on large hyperbolic surfaces
Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
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Negative curvature near trapped geodesics yields lossless Strichartz on conic surfaces
Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds
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Energy-truncated Hamiltonians stable uniformly in volume
Volume-Independent Spectral Stability of Energy-Truncated Effective Hamiltonians in Quantum Spin Systems
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New invariant c_δ decides when Weyl law holds on manifolds
The classical Weyl law for Schr\"odinger operators on complete Riemannian manifolds
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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
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Eigenfunctions of quantum cat maps equidistribute on the torus
Equidistribution of Eigenfunctions of Quantum Cat Maps
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4-cycle stochastic matrices have their eigenvalues fully mapped
On the Spectral Region of 4-Cycle Stochastic Matrices
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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
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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
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1-form spectrum determines homogeneous 3-sphere metrics
Hodge Laplacian on $1$-forms of homogeneous $3$-spheres
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Riesz property holds for L^r perturbations of degenerate oscillators
Riesz property in the case of multiple eigenvalues
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Equilateral triangle uniquely minimizes eigenvalue functional
Sharp Dirichlet eigenvalue inequalities on triangles
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Borel resummation yields closed forms for two Laplacian determinants
Two Regularized Determinants of Laplacian through Resurgence theory
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Isospectral graphons arise from different geometries
Graphons, Geometry, and Dynamics: Forward and Inverse Perspectives
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Matrix products always non-negative when graph condition met
A characterization for positive semi-definite matrix products
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Gaussian X-ray normal operators share eigenfunctions with oscillator
Gaussian-weighted normal operators on Euclidean space
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Lyapunov exponent stays continuous for Gevrey cocycles when s+η is between 1 and 2
Continuity of Lyapunov Exponent for Quasi-Periodic Gevrey Cocycles
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Formulas tie dissipation to node geometry in interpolation systems
Dissipation and c-Entropy in Nevanlinna-Pick Interpolation
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Bloch variety irreducible iff quotient graph connected for generic parameters
Generic Irreducibility of Bloch Varieties for Periodic Graph Operators
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Spectral sparsifiers keep GNN embedding geometry stable
Spectral Graph Sparsification Preserves Representation Geometry in Graph Neural Networks
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Symmetric reset sites remove rate dependence from ruin probability
Spectral Duality and Reset-Neutral Distributions in Random Walks with Multi-Site Geometric Resetting
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Catenoids gain extra kernel at radius critical points
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Hyperbolic catenoid nullity jumps to 3 at radius critical points
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Robin nullity reaches at least 3 at critical hyperbolic catenoids
Robin nullity and asymptotic geometry of the critical hyperbolic catenoid
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Scalar curvature rigidity holds on odd-dimensional cone singularities
Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions
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Negative periodic perturbations shift non-local spectra left
Negative spectrum of non-local operators with periodic potential
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Nilpotents collapse hypergeometric functions to polynomials
Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points
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Random walks normalize Hodge Laplacians on simplicial complexes
Root-to-Leaf Path Random Walks, Normalized Hodge Laplacians, and Cheeger Inequalities on Simplicial Complexes
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Chern character jumps keep states delocalized under disorder
Dynamical delocalization in disordered 2D Chern insulators
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Chagas dispersal operator generates analytic semigroup
Analytic semigroup generated by the dispersal process of a sylvatic transmission model of Chagas disease
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All eigenvalue sets described for genus 3 graph Laplacians
Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
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Hadamard coefficients derived from Green's operators
Formulas for Hadamard coefficients in terms of Green's operators
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Resolvent holomorphy links Krylov solvability in Banach spaces
Some results on Krylov solvability in Banach space and connections to spectral theory
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Krylov solvability in Banach spaces blocked by missing complements
Some results on Krylov solvability in Banach space and connections to spectral theory
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Top Lyapunov exponent is real-analytic in probabilities with explicit polydisc
Quantitative Analyticity for Lyapunov Exponents of Random Products of Matrices with Explicit Polydiscs and Cauchy Coefficient Bounds
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p-Dirichlet eigenvalue fixes geometry of hyperbolic submanifolds
Sharp Spectral Bounds for the $p$-Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds
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Any m-edge graph has permanental energy at least 2√m
Permanental Energy of Graphs
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Lyapunov exponents of random GL(2,R) cocycles obey explicit Hölder continuity
Quantitative H\"older Regularity, Concentration, and Spectral Applications for Lyapunov Exponents of Random $\operatorname{GL}(2,\mathbb{R})$ Cocycles, with Extensions to $\operatorname{GL}(d,\mathbb{R})$
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Moments of AMO intersection spectrum measure are polynomials in λ
Generalized Aubry-Andr\'e formula and continuity of the intersection spectrum of the Almost Mathieu operator
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Power hypertrees break reciprocal eigenvalue symmetry
Eigenvalues of Hypergraph Products and Reciprocal Eigenvalue Property
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Weighted formula extends trigonometric sum on discrete tori
Weighted discrete tori and weighted trigonometric sums
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Matrix semicircle non-singular at zero iff pencil LR-semisimple
An algebraic characterization of non-singular matrix semicircles
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Finite weighted log integral forces Verblunsky decay for m=1,2,3
Single-Point Higher-Order Szeg\H{o} Sum Rules in OPUC: Necessity for $m=1,2,3$
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New graph families share identical Seidel energy
Some New Results on Seidel Equienergetic Graphs