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Exact dynamical decay rate for the almost Mathieu operator
Mathematical Research Letters ( IF 0.6 ) Pub Date : 2020-01-01 , DOI: 10.4310/mrl.2020.v27.n3.a8 Svetlana Jitomirskaya 1 , Helge Krüger 2 , Wencai Liu 3
Mathematical Research Letters ( IF 0.6 ) Pub Date : 2020-01-01 , DOI: 10.4310/mrl.2020.v27.n3.a8 Svetlana Jitomirskaya 1 , Helge Krüger 2 , Wencai Liu 3
Affiliation
We prove that the exponential decay rate in expectation is well defined and is equal to the Lyapunov exponent, for supercritical almost Mathieu operators with Diophantine frequencies.
中文翻译:
几乎 Mathieu 算子的精确动态衰减率
我们证明,对于具有丢番图频率的超临界几乎 Mathieu 算子,期望中的指数衰减率是明确定义的并且等于 Lyapunov 指数。
更新日期:2020-01-01
中文翻译:
几乎 Mathieu 算子的精确动态衰减率
我们证明,对于具有丢番图频率的超临界几乎 Mathieu 算子,期望中的指数衰减率是明确定义的并且等于 Lyapunov 指数。