Localization for heavy-tailed Anderson models

TL;DR

This paper proves localization in one-dimensional Anderson models with heavy-tailed distributions using recent large deviation estimates for random matrix products.

Contribution

It introduces a novel proof of localization for heavy-tailed Anderson models based on recent large deviation results.

Findings

Localization established for heavy-tailed Anderson models

Utilizes recent uniform large deviation estimates

Advances understanding of spectral properties in disordered systems

Abstract

Using recent results on uniform large deviation estimates for random matrix products obtained by S. Raman and the author, we prove localization for one dimensional Anderson models with heavy tails.