3 papers
math.SP2025
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…
math.SP2025
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…
math.SP2025
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…