Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency

Published 5 Aug 2017 in math.SP | (1708.01762v4)

Abstract: In this paper, we study the non-self dual extended Harper's model with Liouvillean frequency. By establishing quantitative reducibility results together with the averaging method, we prove that the lengths of spectral gaps decay exponentially.

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