Kai Tao
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.
Submitted January 4, 2020. Published May 26, 2020.
Math Subject Classifications: 37C55, 37F10.
Key Words: Analytic quasi-periodic Jacobi cocycles; high dimension torus;
non-perturbative; positive Lyapunov exponent; weak Holder continuous.
Show me the PDF file (362 KB), TEX file for this article.
Kai Tao Mathematics department Southeast University, Jiulonghu Campus Jiangning District, Nanjing Jiangsu Province 211189, China email: ktao@hhu.edu.cn, tao.nju@gmail.com |
Return to the EJDE web page