Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (2): 334-346.

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Dynamical Localization for the CMV Matrices with Verblunsky Coeffcients Defined by the Skew-Shift

Yanxue Lin()   

  1. Scool of Mathematics and Information Sciences, Yantai University, Shandong Yantai 264000; Scool of Mathematical Sciences, Ocean University of China, Shandong Qingdao 266100
  • Received:2024-01-05 Revised:2024-09-16 Online:2025-04-26 Published:2025-04-09
  • Supported by:
    NSFC(11571327);NSFC(11971059)

Abstract:

In this paper, we prove the Lyapunov behavior and dynamical localization for the quasi-periodic CMV matrices with most frequencies and Verblunsky coefficients defined by the skew-shift, in the regime of positive Lyapunov exponents.

Key words: CMV Matrices, Lyapunov behavior, dynamical localization

CLC Number: 

  • O193
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