The density of states and local eigenvalue statistics for random band matrices of fixed width

DOI10.4171/JST/405zbMath1498.60026arXiv2008.13167MaRDI QIDQ2080311

Peter D. Hislop, Benjamin Brodie

Publication date: 7 October 2022

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

Full work available at URL: https://arxiv.org/abs/2008.13167

zbMATH Keywords

localizationPoisson point processrandom band matriceseigenvalue statistics

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Dynamical localization for random band matrices up to \(W \ll N^{1/4}\)

Cites Work

• Unnamed Item
• Regularity of the density of states of random Schrödinger operators
• Eigenvector localization for random band matrices with power law band width
• An introduction to the theory of point processes
• Localization at large disorder and at extreme energies: an elementary derivation
• Limiting eigenvalue distribution for band random matrices
• Gaussian beta ensembles at high temperature: eigenvalue fluctuations and bulk statistics
• Density of states for random band matrices
• Anderson localization and the space-time characteristic of continuum states
• Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
• On the local eigenvalue statistics for random band matrices in the localization regime
• Random band matrices in the delocalized phase. II: Generalized resolvent estimates
• Generalized eigenvalue-counting estimates for the Anderson model
• Density of states for random band matrices in two dimensions
• Random band matrices in the delocalized phase. III: Averaging fluctuations
• Matrix regularizing effects of Gaussian perturbations
• Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality
• RANDOM BAND MATRICES
• On the Wegner Orbital Model
• Finite-volume fractional-moment criteria for Anderson localization