4 papers
The Ultimate Ishii-Pastur Theorem for Whole-Line Ergodic Block Jacobi Operators
Zhenfu Wang, Bei Zhang, Qi Zhou
We establish an ultimate Ishii-Pastur theorem for whole-line ergodic block Jacobi operators. We prove that, for almost every realization, the restriction of a maximal spectral meas…
Finite and full scale localization for the multi-frequency quasi-periodic CMV matrices
Bei Zhang, Daxiong Piao
This paper formulates the finite and full-scale localization for multi-frequency quasi-periodic CMV matrices. This can be viewed as the CMV counterpart to the localization results…
Anderson localization for the multi-frequency quasi-periodic CMV matrices and quantum walks
Bei Zhang, Daxiong Piao
In this paper we prove Anderson localization for multi-frequency quasi-periodic extended CMV matrices with analytic Verblunsky coefficients in the regime of positive Lyapunov expon…
The spectrum of the multi-frequency quasi-periodic CMV matrices contains intervals
Bei Zhang, Daxiong Piao
We investigate the spectral structure of multi-frequency quasi-periodic CMV matrices with Verblunsky coefficients defined by shifts on the -dimensional torus. Under the positive…