Non-perturbative positivity and weak Holder continuity of Lyapunov exponent of analytic quasi-periodic Jacobi cocycles defined on a high dimension torus
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Date
2020-05-26
Authors
Tao, Kai
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
When analytic quasi-periodic cocycles are defined on a high dimension torus, their Lyapunov exponents have perturbative positivity and continuity. In this article, we study a class of analytic quasi-periodic Jacobi cocycles defined on a two dimension torus. We show that in the non-perturbative large coupling regimes, the Lyapunov exponent is positive for any frequency and weak Holder continuous for the full-measured frequency.
Description
Keywords
Analytic quasi-periodic Jacobi cocycles, High dimension torus, Non-perturbative, Positive Lyapunov exponent, Weak Holder continuous
Citation
Tao, K. (2020). Non-perturbative positivity and weak Holder continuity of Lyapunov exponent of analytic quasi-periodic Jacobi cocycles defined on a high dimension torus. <i>Electronic Journal of Differential Equations, 2020</i>(51), pp. 1-14.
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Attribution 4.0 International