H\"older continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

Wenwen Jian; Yunfeng Shi

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arXiv · 1708.02670

H\"older continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

Wenwen Jian·Yunfeng Shi

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Abstract

In this paper, we study the non-self-dual extended Harper's model with a Liouville frequency. Based on the work of \cite{SY}, we show that the integrated density of states (IDS for short) of the model is $\frac{1}{2}$-H$\ddot{\text{o}}$lder continuous. As an application, we also obtain the Carleson homogeneity of the spectrum.

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BibTeX RIS

Wenwen Jian, Yunfeng Shi. 2017-08-08. H\"older continuity of the integrated density of states for Extended Harper's Model with Liouville frequency. https://arxiv.org/abs/1708.02670

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