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Every paper Pith has read. Search by title, abstract, or pith.
350 papers in math.SP · page 1
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Any domain's Dirichlet gaps sum to at least a Bessel constant
The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues
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First-variation formula for eigenvalues holds at essential spectrum edge
Eigenvalue optimization via a first-variation formula
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Neumann Ornstein-Uhlenbeck semigroup on trees is Markovian with Gaussian invariant
Ornstein--Uhlenbeck semigroup on rooted trees
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S-spectrum yields bisectorial estimates for Dirac S-resolvent
The $S$-resolvent estimates for the Spinor Dirac operator on manifolds with boundary conditions
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Pleijel bound holds for p-Laplacian nodal domains
On Pleijel-type nodal domain bounds for the $p$-Laplacian
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Zero LE yields capacity convergence along rational frequency sequences
Capacity and measure approximations for Schr\"{o}dinger operators
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Sextic oscillator degeneracies match generalized Hermite zeros
Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
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Generalized Hermite zeros mark level crossings in sextic oscillator
Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
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Random boson model switches from type-I to type-III BEC with interaction strength
Existence and absence of Bose-Einstein condensation in the interacting random Kac-Luttinger model
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Neumann-Dirichlet eigenvalue shift grows exponentially with dimension
Inequalities between Dirichlet and Neumann eigenvalues in large dimensions
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Local DN equality extends to full boundary if metrics agree nearby
A Local--to--Global Propagation Principle for Dirichlet--to--Neumann Maps
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Transfer operator framework yields absolute continuity of IDS
Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators
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Discrete Prüfer phase yields O(h²) eigenvalue accuracy
A Discrete Pr\"ufer Transformation Approach to Sturm--Liouville Difference Equations and Eigenvalue Estimation
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Stabilization cost rate equals Lyapunov exponent on Aubry-André chain
The cost rate of nonlinear remote stabilization on the Aubry--Andr\'e lattice: a reflected off-spectral exponent and the sharp identity for almost every phase
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Kato-Rosenblum theorem extends to unbounded n-tuples
A Sharp Kato-Rosenblum Type Theorem for Unbounded n-Tuples
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Perturbations yield Breit-Wigner resonances near embedded eigenvalues
Multi-parameter Perturbations of the Laplacian and Resonance Near a Simple Embedded Eigenvalue
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Automorphic forms split into cusp forms plus Eisenstein coefficients
On Franke's theorem in the simplest case
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Z2 edge index at curved boundary equals bulk difference times intersection mod 2
Geometric bulk-edge correspondence for $\mathbb{Z}_2$-topological insulators
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Wave kernels on trees written as finite I-Bessel sums
Discrete Space-Time Wave Kernels on Regular Trees
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Wave kernels on graphs equal Bessel functions of walk counts
Discrete Space-Time Wave Kernels and Trace Identities on Regular Graphs
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Duality preserves Morse critical groups for ratio convex functions
Hidden critical and Morse equivalence behind duality: Theory and Applications
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KPZ exponent controls second term of LQG heat trace
Spectral expansion of LQG heat trace and KPZ scaling
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Resolvent estimates for inverse-square potentials sharpen with large coupling
Quantitative uniform resolvent estimates
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One scattering entry determines multilayer domain and metric
Inverse scattering in an asymptotically flat multilayer domain
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Multilinear oscillatory bounds reach sharp endpoints and drop logs from 3D spectral cluste
Sharp endpoint multilinear estimates for oscillatory integrals and spectral clusters
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CR Paneitz operator has infinitely many negative eigenvalues on non-embeddable tori
Non-embeddable torus and CR Paneitz operator
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Off-diagonal expansion holds for indicator-symbol Toeplitz kernels
Asymptotics for Toeplitz operators with symbol an indicator function
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Ball maximizes Robin eigenvalue for small negative coupling
A reverse Faber--Krahn inequality for the Robin Laplacian with negative boundary parameter: small coupling in all dimensions
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Equal sides uniquely maximize spanning trees in grid products at perfect powers
Extremal Spanning Trees in Product Grid Graphs
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Ten-digit certification for singular Schrödinger spectrum and non-normal resonances
Ten Digits on a Train: AI-Assisted Verification of Two Eigenvalue Problems
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Lyapunov exponent bounded below by c log λ for skew-shift operators
Positivity and log-H\"{o}lder Continuity of Lyapunov Exponents for Multi-Frequency Skew-Shift Schr\"{o}dinger Operators
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Anisotropic FUP gives essential spectral gap for 2D baker's map
Anisotropic 2D FUP and quantum open baker's map
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Steklov eigenvalue product bounded by unit ball volume over domain volume
A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues
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Product of first N Steklov eigenvalues bounded by ω_N/|Ω| on Lipschitz domains
A sharp fixed-volume product inequality for the first $N$ nonzero Steklov eigenvalues
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White-noise Schrödinger eigenvalues expand with explicit Brownian term
High-energy asymptotics for finite-interval Schr\"odinger operators with Gaussian white-noise potential
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Characteristic function yields explicit biorthogonal formulas for eigenparameter-dependent
Minimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
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Characteristic function reformulates minimality criteria for root functions
Minimality of the root functions of Sturm-Liouville problems with a boundary condition depending linearly on an eigenparameter
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Neural network recovers Morse index 4 of critical catenoid
Physics-Informed Neural Networks for Computing the Morse Index of the Critical Catenoid
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Spectrum of graph Laplacian forces potential to zero
Ambarzumian-type theorems for Hermitian matrices with applications
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Eigenvalues converge on desingularized special Lagrangian cones
Spectral Analysis for Finite-Time Singularities of Lagrangian Mean Curvature Flow
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Equilateral torus uniquely maximizes zeta determinant in all dimensions
Global Extrema of the Zeta Regularized Determinant on Orthogonal Flat Tori
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Eigenvalue asymptotics for delay operators uniform in delay size
Spectral asymptotics for two-term even-order differential operators with homogeneous delay
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Tridiagonal stochastic matrices have at most floor(n/2) negative eigenvalues
Negative index, matchings, and nonnegative eigenvalues of tridiagonal stochastic matrices
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Long-range Dirac-Stark operators keep eigenvalues near Stark ladders
Localization and eigenvalue asymptotics for long-range discrete Dirac operators with Stark potential
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Random potentials yield square-root cancellation in manifold eigenvalue bounds
Random Schr\"odinger operators on manifolds and abstract bounds for multiplier-type operators
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Two spectra fix third-order operator coefficients
Third-order inverse spectral problem with the three-point boundary conditions
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Uniform spectral gap holds for cusped thin subgroups of SO(n,1)
Generalization of Selberg's $3/16$ theorem for geometrically finite thin subgroups of $\operatorname{SO}(n, 1)$
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Point mass implies localized eigenfunctions in random networks
Localization of eigenfunctions in amenable unimodular random networks
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Modal preorders keep two exact sources in CH23 SCI block
Finite-Query Collapse and Modal Exact Bases in the SCI Hierarchy
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Orthonormal spectral clusters gain log-improved bounds on curved manifolds
Orthonormal Spectral Cluster Bounds on Manifolds with Nonpositive Curvature