Lyapunov Exponents for Generalized Szegő Cocycles

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-04-29 DOI:10.1007/s00025-024-02168-6

Licheng Fang, Fengpeng Wang

引用次数: 0

Abstract

In this paper, we investigate the Lyapunov exponents of the generalized dynamically defined Szegő cocycle, corresponding to orthogonal polynomials on the circle with radius \(\lambda \). We give the upper and lower bounds of the top Lyapunov exponent in our setting by realification.

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广义 Szegő Cocycles 的 Lyapunov 指数

在本文中，我们研究了广义动态定义的 Szegő cocycle 的 Lyapunov 指数，它对应于半径为 \(\lambda \) 的圆上的正交多项式。我们通过实化给出了在我们的设置中顶层 Lyapunov 指数的上界和下界。

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

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.