Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies

Abstract

We prove uniform positivity of the Lyapunov exponent for quasiperiodic Schrödinger cocycles with C² cos-type potentials, large coupling constants, and fixed weak Liouville frequencies.

Keywords

Lyapunov exponent / C² cos-type potential / weak Liouville frequency

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