On Eigenvalue Spacings for the 1-D Anderson Model with Singular Site Distribution

DOI10.1007/978-3-319-09477-9_6zbMath1319.35125arXiv1308.4905OpenAlexW1696973093MaRDI QIDQ5255112

Jean Bourgain

Publication date: 11 June 2015

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.4905

zbMATH Keywords

Anderson modeleigenvalue spacingsingular site distribution

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (1)

Real eigenvalues in the non-Hermitian Anderson model

Cites Work

• Unnamed Item
• On the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorder
• Spectral statistics for random Schrödinger operators in the localized regime
• Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
• Anderson localization for Bernoulli and other singular potentials
• Generalized eigenvalue-counting estimates for the Anderson model
• An application of group expansion to the Anderson-Bernoulli model
• On the Local Eigenvalue Spacings for Certain Anderson-Bernoulli Hamiltonians

This page was built for publication: On Eigenvalue Spacings for the 1-D Anderson Model with Singular Site Distribution