数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (6): 2099-2110.doi: 10.1007/s10473-024-0603-3

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THE HÖOLDER CONTINUITY OF THE LYAPUNOV EXPONENT FOR A QUASI-PERIODIC SZEGÖ COCYCLE

BEI ZHANG   

  1. School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
  • 收稿日期:2023-10-20 修回日期:2024-07-11 出版日期:2024-12-25 发布日期:2024-12-06
  • 作者简介:BEI ZHANG, E-mail: zhangbei1929@163.com
  • 基金资助:
    NSFC (11571327, 11971059).

THE HÖOLDER CONTINUITY OF THE LYAPUNOV EXPONENT FOR A QUASI-PERIODIC SZEGÖ COCYCLE

BEI ZHANG   

  1. School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
  • Received:2023-10-20 Revised:2024-07-11 Online:2024-12-25 Published:2024-12-06
  • About author:BEI ZHANG, E-mail: zhangbei1929@163.com
  • Supported by:
    NSFC (11571327, 11971059).

摘要: In this paper, I consider the Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegö cocycle with weak Liouville frequency. I extend the existing results about the regularity of the Lyapunov exponent from the Schrödinger cocycle in [24] to a Szegö cocycle.

关键词: Szegö, cocycle, Lyapunov exponents, Hölder continuity, orthogonal polynomials

Abstract: In this paper, I consider the Hölder continuity of the Lyapunov exponent for a quasi-periodic Szegö cocycle with weak Liouville frequency. I extend the existing results about the regularity of the Lyapunov exponent from the Schrödinger cocycle in [24] to a Szegö cocycle.

Key words: Szegö, cocycle, Lyapunov exponents, Hölder continuity, orthogonal polynomials

中图分类号: 

  • 37A30