论文标题

lyapunov指数的阳性分析式准二元算子具有任意有限背景的阳性

Positivity of the Lyapunov exponent for analytic quasiperiodic operators with arbitrary finite-valued background

论文作者

Powell, Matthew

论文摘要

我们研究了与单频式准隔离的Schrödinger操作员相关的Lyapunov指数的下限,具有有限的背景潜力。我们证明,对于足够大的耦合常数,Lyapunov指数为正,具有均匀的(在能量和背景)的缩小。

We study lower bounds on the Lyapunov exponent associated with one-frequency quasiperiodic Schrödinger operators with an added finite valued background potential. We prove that, for sufficiently large coupling constant, the Lyapunov exponent is positive with a uniform (in energy and background) minoration.

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