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228 papers in math.SP · page 4
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Opers generating function equals Toda Yang-Yang function
Higher-Rank Mathieu Opers, Toda Chain, and Analytic Langlands Correspondence
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Hyperbolic surfaces mix quantum observables at large scales
Quantum Mixing and Benjamini-Schramm Convergence of Hyperbolic Surfaces
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Spectral max of monotone operators equals classical max-convolution
Monotone max-convolution and subordination functions for free max-convolution
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Curved corners introduce curvature term in heat trace at order sqrt(t)
The heat trace for domains with curved corners
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Split graph nullity equals nullity of R plus at most one
On the nullspace of split graphs
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Semiclassical spectrum derived for singular harmonic operator
Spectral asymptotics for a class of singular Sturm-Liouville operators with applications to magnetic Laplacian and a-zeros of Kummer functions
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Factorization expresses full-line scattering via left and right fragments
Factorization for the matrix-valued general Jacobi system on the full-line lattice
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Transmission eigenvalues bifurcate under smooth refractive-index changes
Bifurcations in Interior Transmission Eigenvalues: Theory and Computation
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Space-time samples recover initial states and evolution operators
Dynamical Sampling: A Survey
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Spectral interpolation improves rare molecular property predictions
SPECTRA: Spectral Domain-Aware Graph Generation for Imbalanced Molecular Property Regression
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Reinforced elliptic spectrum converges to Robin problem as layer thins
Remarks on the reinforcement of the spectrum of an elliptic problem with Robin boundary condition
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Dictionaries yield upper bounds on Koopman spectra in L^p
Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version
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This paper establishes geometric lower bounds for the smallest positive eigenvalue of the…
Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
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Bohr-Sommerfeld rules for 2x2 systems add geometric phase corrections
Bohr--Sommerfeld rules for systems
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Third term reveals flux in exterior magnetic eigenvalues
Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk
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Resolvent norm grows arbitrarily fast for non-smooth obstacles
The cut-off resolvent can grow arbitrarily fast in obstacle scattering
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ADER-DG method for ODEs satisfies A-
Theory and internal structure of ADER-DG method for ordinary differential equations
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Eigenvalues in 3D layers shift monotonically with angle changes
Monotonicity of discrete spectra of Dirichlet Laplacian in 3-dimensional layers
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Oscillatory chains around 1/4 yield diverging deviation sums
Construction and Characterization of Oscillatory Chain Sequences
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Ergodic Reeb flow implies quantum ergodicity for subLaplacians
Quantum ergodicity for contact metric structures
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Unified microlocal analysis covers both cusp singularities and complete ends
Analysis on fibred cusp spaces
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Monodromy matrix assumptions yield continuous spectral density everywhere
Sturm-Liouville operators with periodically modulated parameters. Part I: Regular case
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Ballistic transport holds for Schrödinger operators with o(1/|n|) potentials
Ballistic Transport for Discrete Multi-Dimensional Schr\"odinger Operators With Decaying Potential
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Nodal domain count is upper semicontinuous under surface perturbations
Nodal Domains on Surfaces under Perturbation: Upper Semicontinuity, Courant-Sharpness, and Boundary Intersections
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Airy function fixes ε^{2/3} shifts to 1D three-body energies
The Born-Oppenheimer approximation for a 1D 2+1 particle system with zero-range interactions
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ε-repelling curvature bounded above by Lin-Lu-Yau with repelling cost
Repelling curvature via $\epsilon-$repelling Laplacian on positive connected signed graphs
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Tighter bound sharpens second eigenvalue on flat tori
An improved upper bound for the second eigenvalue on tori
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Discontinuous mass yields infinitely many semiclassical limits
Quantum Systems with jump-discontinuous mass. I
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Wodzicki residue on Dirac operators recovers torsion and curvature
On Geometric Spectral Functionals
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Heavy tails preserve localization in 1D Anderson models
Localization for heavy-tailed Anderson models
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Spectral map for positive Hankel operators is an involution
Inverse spectral problems for positive Hankel operators
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Nonpositive radial curvature at one point yields infinite AC spectrum
Convexity on manifolds without focal points and applications
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1D fermion ground states are non-degenerate
A non-degeneracy theorem for interacting fermions in one dimension
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Localization holds for multi-frequency quasi-periodic CMV matrices
Finite and full scale localization for the multi-frequency quasi-periodic CMV matrices
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Lévy OU operators gain explicit eigenfunction formulas via intertwining
Spectral theory of non-local Ornstein-Uhlenbeck operators
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Irreducible Perron semigroups share a common invariant cone
Perron matrix semigroups
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Wave energy on torus decays under non-polynomial damping bounds
Sharp energy decay rates for the damped wave equation on the torus via non-polynomial derivative bound conditions
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Beta-expansion transfer operator fills open unit disk with point spectrum
Spectral and dynamical results related to certain non-integer base expansions on the unit interval
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ESPRIT DoA estimates become inconsistent for large arrays
A Large-Dimensional Analysis of ESPRIT DoA Estimation: Inconsistency and a Correction via RMT
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Axioms yield elementary calculus for Duistermaat index
The calculus of Duistermaat's triple index
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Hot spots conjecture holds for Lipschitz domains in Gaussian space
The hot spots conjecture on Gaussian spaces
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Conjecture states when block Toeplitz spectra stay real
On reality of eigenvalues of banded block Toeplitz matrices
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Constants for forms on convex domains fall as degree rises
On the geometry of star domains and the spectra of Hodge-Laplace operators
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Curvature assumptions give Poincaré bounds for sticky reflecting Brownian motion
Functional Inequalities for doubly weighted Brownian Motion with Sticky-Reflecting Boundary Diffusion
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Dirac cones proven at zone vertices for commensurate TBG in exact model
Twisted Bilayer Graphene in Commensurate Angles
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Pascal matrix commutes with explicit tridiagonal matrices
The Pascal Matrix, Commuting Tridiagonal Operators and Fourier Algebras
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Scattering transforms limit over-smoothing in graph message passing
Limiting Over-Smoothing and Over-Squashing of Graph Message Passing by Deep Scattering Transforms
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Topological split decouples mean curvature on homogeneous bundles
Prescribed mean curvature problems on homogeneous vector bundles
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Strong local fields yield Little-Parks oscillations in effective model
Local strong magnetic fields and the Little-Parks effect
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Factorization gives S-node inequalities in interpolation
$S$-nodes, factorisation of spectral matrix functions and corresponding inequalities