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228 papers in math.SP · page 2
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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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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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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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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
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Joint eigenfunctions get sharp bound h^(-n+k+1)/2 at rank-k points
Trace estimates and improved pointwise bounds for joint eigenfunctions
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FAT chromatic number determined for all complete multipartite graphs
Spectral Perspectives on FAT Graph Colorings
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Eigenfunctions mix on BS-converging hyperbolic surfaces
Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit
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Combinatorial test gives negative answer for tridiagonal nSSP
Combinatorial aspects of the non-symmetric strong spectral property for graphs
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Symbol submatrix eigenvalues fix lattice interface modes
Topologically protected interface modes in multi-band damped lattice models
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Perturbed twisted Toeplitz matrices yield 2D eigenvalue limits
Structured perturbations of tridiagonal twisted Toeplitz matrices
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Subordination to semigroups determines spectrum of Cesaro-Hardy operators
Ces\`aro-Hardy operators on $L^p[0,1]$: fine spectrum, weighted Koopman semigroups and invariant subspaces
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Markov chain comparison yields universal edge statistics for sparse matrices
Edge Universality for Inhomogeneous Random Matrices II: Markov Chain Comparison and Critical Statistics
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Toeplitz operator test proves linear completeness in Sobolev spaces
Linear completeness of trajectories in Sobolev spaces and the symmetrised polydisk
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Normalized Evans function bounds distance to spectrum
The Evans function as a lower bound on the spectral distance function
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Negative eigenvalues emerge for wider 2D potentials
Revisiting the Weak Coupling Phenomenon for Two-Dimensional Schr\"odinger Operators
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Steklov spectrum uniquely determines most triangles
The Steklov spectrum of convex polygonal domains II: investigating spectral determination
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Wave operators exist and are complete for Szegő Jacobi matrices
Wave operators for Jacobi matrices
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Müller minimizer eigenvalues decay as A k^{-8/3}
Eigenvalue asymptotics of M\"uller minimizers for atoms and molecules
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Riesz means of eigenvalues minimized by ball in limit
An asymptotic shape optimization problem for Riesz means of Laplacian eigenvalues
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Graphs keep the same energy after adding self-loops to some vertices
Some New Results on Energy of Graphs with Self Loops
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Pointwise bound sharpens L^p estimates for SU(3) characters
Pointwise character bounds for $\mathrm{SU}(3)$
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Spectral condition stabilizes uncertainty principles on manifolds
Uncertainty principles and singular potentials
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Witness motifs saturate Weyl bounds on Laplacian perturbations
Spectral Effects Of Heavy-Tailed Vertex Noise In Geometric Graphs
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The paper describes a recursive delete/zero algorithm that builds a binary tree of…
Recursive determinantal framework for testing D-stability. I
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This monograph derives semiclassical Weyl laws and extensions of Connes' integration…
Noncommutative Geometry, Spectral Asymptotics, and Semiclassical Analysis
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Weyl laws extend to noncommutative manifolds under weak Condition (W)
Noncommutative Geometry, Spectral Asymptotics, and Semiclassical Analysis
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Criterion guarantees Dirac eigenvalue minimizers on closed spin surfaces
Conformally critical metrics and optimal bounds for Dirac eigenvalues on spin surfaces