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arXiv · 2206.04159

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

Matthew Powell
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Abstract

We study lower bounds on the Lyapunov exponent associated with one-frequency quasiperiodic Schr\"odinger 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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Matthew Powell. 2022-06-08. Positivity of the Lyapunov exponent for analytic quasiperiodic operators with arbitrary finite-valued background. https://arxiv.org/abs/2206.04159

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