An application of group expansion to the Anderson-Bernoulli model

2013/07/25 by Jean Bourgain, Bourgain, Jean
Materials Science · Mathematics · Physics and Astronomy · #20F65 #82B44 #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #Quasicrystal Structures and Properties #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1307.6867

openalex publication_date 2013/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish smoothness of the density of states for 1D lattice Schrodinger operators with potential taking values ±λ, for λ in a class of small algebraic numbers and energy E∈)-2, 2( suitably restricted away from ±2.

Citations

• Anderson localization for Bernoulli and other singular potentials

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