论文标题
Anderson定位的准周期CMV矩阵具有Verblunsky系数
Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift
论文作者
论文摘要
在本文中,我们研究了偏移偏移的Verblunsky系数的准周期CMV矩阵。我们证明了大多数频率的Lyapunov指数和Anderson定位的积极性,这些频率确定了Bourgain,Goldstein和Schlag证明的一维Schrödinger运营商的类似结果。
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.