数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1240-1254.doi: 10.1007/s10473-019-0504-z

• 论文 • 上一篇    下一篇

SHARP HÖLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR EXTENDED HARPERS MODEL WITH A LIOUVILLE FREQUENCY

菅雯雯1, 石云峰2   

  1. 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;
    2. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • 收稿日期:2018-06-28 修回日期:2018-10-27 出版日期:2019-10-25 发布日期:2019-11-11
  • 通讯作者: Yunfeng SHI E-mail:yunfengshi18@gmail.com
  • 作者简介:Wenwen JIAN,E-mail:wwjian16@fudan.edu.cn
  • 基金资助:
    The second author was supported by China Postdoctoral Science Foundation (2018M641050).

SHARP HÖLDER CONTINUITY OF THE INTEGRATED DENSITY OF STATES FOR EXTENDED HARPERS MODEL WITH A LIOUVILLE FREQUENCY

Wenwen JIAN1, Yunfeng SHI2   

  1. 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China;
    2. School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Received:2018-06-28 Revised:2018-10-27 Online:2019-10-25 Published:2019-11-11
  • Contact: Yunfeng SHI E-mail:yunfengshi18@gmail.com
  • Supported by:
    The second author was supported by China Postdoctoral Science Foundation (2018M641050).

摘要: In this article, the non-self dual extended Harper's model with a Liouville frequency is considered. It is shown that the corresponding integrated density of states is 1/2-Hölder continuous. As an application, the homogeneity of the spectrum is proven.

关键词: extended Harper's model, Liouville frequency, 1/2-Hölder continuity, homogeneity

Abstract: In this article, the non-self dual extended Harper's model with a Liouville frequency is considered. It is shown that the corresponding integrated density of states is 1/2-Hölder continuous. As an application, the homogeneity of the spectrum is proven.

Key words: extended Harper's model, Liouville frequency, 1/2-Hölder continuity, homogeneity

中图分类号: 

  • 47B36