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228 papers in math.SP · page 3
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Pairs of graphs match in summed local energies
Locally Equienergetic Graphs
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Log-linear matrix norm detects shared eigenvectors
Complex Interpolation of Matrices with an application to Multi-Manifold Learning
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Makai inequality extends sharply to convex sets in every dimension
The Makai inequality in higher dimensions: qualitative and quantitative aspects
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Magnetic field stabilizes waveguide spectrum against deformations
Magnetic Dirichlet Laplacian on deformed waveguides
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Convex domains' Neumann eigenvalues fall short of Kröger bound
Quantitative Kr\"{o}ger inequalities for Neumann eigenvalues of convex domains
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Systems are U-mixing iff disjoint from U-generated systems
Multipliers and Disjointness from Mixing
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Higher-dimensional substitutions suffer spectral pollution
Spectral pollution in substitution systems
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Magnetic eigenvalue largest for centered disk on sphere
Isoperimetric inequalities and sharp upper bounds for Aharonov-Bohm eigenvalues on surfaces
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Nonzero Helmholtz parameter changes Dirichlet-to-Neumann spectrum
Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation
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Two universal inequalities bound Dirichlet eigenvalues on convex domains
Some universal inequalities for Dirichlet eigenvalues of the Laplacian on a Euclidean convex domain
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Cuboid Riesz mean maximizers converge to cube or diverge at critical ratio
Optimizing Riesz means of Robin Laplace operators on cuboids in a semiclassical limit
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Sturm-Liouville asymptotics fixed solely by resolvent Schatten index
Complex analytic theory of Sturm-Liouville operators with Schatten $p$-class resolvents
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Banded matrices recovered explicitly from matrix spectral measures
Banded Hermitian Matrices, Matrix Orthogonal Polynomials, and the Toda Lattice
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Empirical operators converge spectrally with discontinuous kernels
Spectral convergence of empirical integral operators with discontinuous kernels
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Spectral Dehn function positivity detects word-hyperbolicity
Spectral Dehn functions and a characterisation of word-hyperbolicity
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Johnson-Schwartzman labels apply to gaps on decorated graphs
Johnson-Schwartzman Gap Labelling for Metric and Discrete Decorated Graphs
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BCH series converges near origin in quasi-Banach Lie algebras
Local Lie Theory in Quasi-Banach Lie Algebras: Convergence of the BCH Series and Geometric Implications
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Random hyperbolic surfaces exceed spectral gap of 2/9
Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$
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Eigenvalue collisions allow exotic spectrum preservers
Eigenvalue collision and exotic preservers on semisimple operators
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Perturbations enable Weyl law for Toeplitz matrices with jumps
Probabilistic Weyl Law for Twisted Toeplitz Matrices with Rough Symbols
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Toda flow extended to unbounded sequences with power growth under 1
Toda flow with unbounded initial data
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Smooth test functions reach near-Tsirelson bound in 1+1D fields
Near-Tsirelson Bell-CHSH Violations in Quantum Field Theory via Carleman and Hankel Operators
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Optimal upper bound proven for electron density in relativistic atoms
Sharp upper bounds for the density of relativistic atoms: Noninteracting case
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3D toroidal queen graph has only six eigenvalues for odd n
Spectral Theory of the Toroidal 3D Queen Graph
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Sharp Steklov bounds obtained for domains in dimension 7 and up
Geometric bounds for Steklov and weighted Neumann eigenvalues on Euclidean domains
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Schrödinger singularities fixed by initial wave front sets
Characterization of spacetime singularities for the Schr\"odinger equation by initial state
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Doubling-map potentials localize Schrödinger operators almost everywhere
Anderson Localization for Schr\"{o}dinger Operators with Monotone Potentials Generated by the Doubling Map
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Weighted Dirac spectrum varies continuously with elliptic weight
Continuity of Weighted Dirac Spectra
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Almost all graphs lack cospectral mates below height o((n/ln n)^{1/10})
Almost all graphs have no cospectral mates with height relative small to its order
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Closed formulas give RDα spectra for joined-union and group power graphs
$RD_\alpha$-Spectra of Joined Union Graphs with Applications to Power Graphs of Finite Groups
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Amalgamated products preserve matricial field properties
A new source of purely finite matricial fields
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Tree geometry encoded in Laplacian spectrum
Spectral Geometry and Heat Kernels on Phylogenetic Trees
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Localization extends Bose condensation estimates to larger boxes
Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
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SCI hierarchies match Weihrauch computability only after regularity restrictions
Foundational Analysis Of The Solvability Complexity Index: The Weihrauch-SCI Intermediate Hierarchy
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Spectrum condition guarantees uniform spread in 1D quantum walks
Ergodicity in discrete-time quantum walks
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Weyl law switches at degeneracy threshold 2/(n+1)
Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent
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Concentration operators keep plunge regions controlled after discretization
Spectral deviation of concentration operators on reproducing kernel Hilbert spaces
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Novel method rules out isometric embeddings for more Schatten classes
Isometric Embeddability of Schatten Classes Revisited
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Analytic quasiperiodic operators localize on Z^d
Anderson localization and H\"older continuity of the integrated density of states for analytic quasiperiodic Schr\"odinger operators
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Geodesic disks uniquely maximize Neumann eigenvalue on sphere
On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
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Moment ladders reconstruct quantum potentials from energies
Inverse Quantum Potential Reconstruction via Generalized Bertlmann-Martin Inequalities
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Resolvent norm either hits global minimum or grows linearly along lines
On the directional growth of the resolvent norm
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Observability on hyperbolic covers holds from any periodic open set
Observability and Semiclassical Control for Schr\"odinger Equations on Non-compact Hyperbolic Surfaces
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Almost all potentials give interval spectra for multi-frequency operators
On the Genericity of the Spectrum Intervalization for Multi-Frequency Quasiperiodic Schr\"{o}dinger Operators
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Quantum walk resonances reduce to finite matrix perturbations
Resonant scattering for tunable quantum walks on graphs with tails
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Wave map self-similar solutions stable without symmetry in d>=4
Mode stability of self-similar wave maps without symmetry in higher dimensions
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Truncated Lamb operator yields exact finite-plate solution on half-space
Dynamic Response of a Finite Circular Plate on an Elastic Half-Space Using the Truncated Lamb Kernel
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Spectrum of dynamics matrix decomposes low-inertia grids into coherent clusters
Generalized Spectral Clustering of Low-Inertia Power Networks
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Type I energies bound open spectral gaps at any irrational frequency
Monotonicity, global symplectification and the stability of Dry Ten Martini Problem
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Normal-matrix preservers reduce to conjugations or eigenvalue orderings
The combinatorics of permuting and preserving curve-bound spectra