On the Lyapunov exponent for some quasi-periodic cocycles with large parameter

IF 1 3区数学 Q1 MATHEMATICS

Communications on Pure and Applied Analysis Pub Date : 2023-01-01 DOI:10.3934/cpaa.2023102

Bowen Ding, Jinhao Liang

引用次数: 0

Abstract

Lyapunov exponent plays an important role in the dynamics of quasi-periodic cocycles, and admits an asymptotic formula for Schrödinger cocycle with large parameter (see [12] for analytic case, and see [15] for finitely smooth case). In this paper, we establish similar asymptotic formulas of Lyapunov exponent for two classes of important quasi-periodic cocycles: Szegő cocycles and Schrödinger Mosaic cocycles.

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一类大参数拟周期环的Lyapunov指数

Lyapunov指数在拟周期共环动力学中起着重要的作用，对于大参数Schrödinger共环有一个渐近公式(解析情况见[12]，有限光滑情况见[15])。本文建立了两类重要的拟周期环:塞格格环和Schrödinger马赛克环的Lyapunov指数的近似渐近公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications on Pure and Applied Analysis 数学-数学

CiteScore

1.90

自引率

10.00%

发文量

124

审稿时长

4-8 weeks

期刊介绍： CPAA publishes original research papers of the highest quality in all the major areas of analysis and its applications, with a central theme on theoretical and numeric differential equations. Invited expository articles are also published from time to time. It is edited by a group of energetic leaders to guarantee the journal''s highest standard and closest link to the scientific communities.