arXiv Open Access 2017

Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

Wenwen Jian Yunfeng Shi

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (2)

Wenwen Jian

Yunfeng Shi

Format Sitasi

APA MLA BibTeX

Jian, W., Shi, Y. (2017). Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency. https://arxiv.org/abs/1708.02670

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓