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

Yunfeng Shi; Xiaoping Yuan

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arXiv · 1708.01762

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

Yunfeng Shi·Xiaoping Yuan

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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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BibTeX RIS

Yunfeng Shi, Xiaoping Yuan. 2017-08-05. Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency. https://arxiv.org/abs/1708.01762

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