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

  • BEI ZHANG
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  • School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
BEI ZHANG, E-mail: zhangbei1929@163.com

Received date: 2023-10-20

  Revised date: 2024-07-11

  Online published: 2024-12-06

Supported by

NSFC (11571327, 11971059).

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.

Cite this article

BEI ZHANG . THE HÖOLDER CONTINUITY OF THE LYAPUNOV EXPONENT FOR A QUASI-PERIODIC SZEGÖ COCYCLE[J]. Acta mathematica scientia, Series B, 2024 , 44(6) : 2099 -2110 . DOI: 10.1007/s10473-024-0603-3

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