Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities were either excluded completely or constrained by additional hypotheses. Applications are one-parameter familie...
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| creator | Jitomirskaya, S Marx, C A |
| description | We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities were either excluded completely or constrained by additional hypotheses. Applications are one-parameter families of analytic Jacobi operators, such as extended Harper's model describing crystals subject to external magnetic fields. |
| doi_str_mv | 10.48550/arxiv.1106.6097 |
| format | Article |
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| subjects | Chaos theory Liapunov exponents Mathematics - Dynamical Systems Mathematics - Mathematical Physics Physics - Mathematical Physics Singularities |
| title | Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities |
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