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 |
Southeast University, Jiulonghu Campus
Jiangning District, Nanjing
Jiangsu Province 211189, China
email: email@example.com, firstname.lastname@example.org
Return to the EJDE web page