Non-perturbative positivity and weak Holder continuity of Lyapunov exponent of analytic quasi-periodic Jacobi cocycles defined on a high dimension torus
dc.contributor.author | Tao, Kai | |
dc.date.accessioned | 2021-09-29T17:58:28Z | |
dc.date.available | 2021-09-29T17:58:28Z | |
dc.date.issued | 2020-05-26 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 14 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.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. Electronic Journal of Differential Equations, 2020(51), pp. 1-14. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14558 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Analytic quasi-periodic Jacobi cocycles | |
dc.subject | High dimension torus | |
dc.subject | Non-perturbative | |
dc.subject | Positive Lyapunov exponent | |
dc.subject | Weak Holder continuous | |
dc.title | Non-perturbative positivity and weak Holder continuity of Lyapunov exponent of analytic quasi-periodic Jacobi cocycles defined on a high dimension torus | |
dc.type | Article |