Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism
Spectral Theory
2024-06-11 v1
Abstract
In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on with Verblunsky coefficients defined dynamically by the hyperbolic toral automorphism. Part of positivity results on the Lyapunov exponents of Chulaevsky-Spencer and Anderson localization results of Bourgain-Schlag on Schr\"{o}dinger operators with strongly mixing potentials are extended to CMV matrices.
Keywords
Cite
@article{arxiv.2406.05449,
title = {Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism},
author = {Yanxue Lin and Shuzheng Guo and Daxiong Piao},
journal= {arXiv preprint arXiv:2406.05449},
year = {2024}
}