2022/09/15 by Yanxue Lin, Lin, Yanxue, Daxiong Piao +3
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.2209.07012
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 Schrödinger operators proved by Bourgain, Goldstein and Schlag.