arXiv subjects

Yanxue Lin

Publications and source records attributed to Yanxue Lin.

2 recordsLinked to original sources

arXiv2024

Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism

In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on $\ell^2(\mathbb{Z}_+)$ 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.

math.SP↗

arXiv2022

Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift

In this paper, we study quasi-periodic CMV matrices with Verblunsky coefficients given by the skew-shift. We prove the positivity of Lyapunov exponents and Anderson localization for most frequencies, which establish the analogous results of one-dimensional Schr\"{o}dinger operators proved by Bourgain, Goldstein and Schlag.

math.SP↗