Decorrelation estimates for random Schrödinger operators with non rank one perturbations

DOI10.4171/JST/336zbMath1473.35131arXiv1809.01236MaRDI QIDQ2043655

Maddaly Krishna, Christopher Shirley, Peter D. Hislop

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01236

zbMATH Keywords

independencerandom Schrödinger operatorscompound Poisson distributioneigenvalue statisticsdecorrelation estimates

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Local eigenvalue statistics for higher-rank Anderson models after Dietlein–Elgart

Cites Work

• Unnamed Item
• Spectral statistics for random Schrödinger operators in the localized regime
• Eigenvalue statistics for random Schrödinger operators with non rank one perturbations
• Multiplicity bound of singular spectrum for higher rank Anderson models
• Decorrelation estimates for the eigenlevels of the discrete Anderson model in the localized regime
• The local structure of the spectrum of the one-dimensional Schrödinger operator
• Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
• Simplicity of eigenvalues in Anderson-type models
• Decorrelation estimates for random discrete Schrödinger operators in dimension one and applications to spectral statistics
• Minami's estimate: beyond rank one perturbation and monotonicity
• Decorrelation estimates for a 1D tight binding model in the localized regime
• Simplicity of eigenvalues in the Anderson model
• New characterizations of the region of complete localization for random Schrödinger operators
• Lévy Processes and Stochastic Calculus
• Poisson Statistics for Anderson Model with Singular Randomness
• Global multiplicity bounds and spectral statistics for random operators
• On multiplicity of spectrum for Anderson type operators with higher rank perturbations
• Finite-volume fractional-moment criteria for Anderson localization