Holder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

被引：7

作者：

Damanik, David ^{[1
]}

Gorodetski, Anton ^{[2
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77005 USA

[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2013年 / 323卷 / 02期

基金：

美国国家科学基金会;

关键词：

UNIFORM SPECTRAL PROPERTIES; DIMENSIONAL QUASI-CRYSTALS; SCHRODINGER-OPERATORS; UPPER-BOUNDS; LOCALIZATION; DISCRETE; DYNAMICS; MAP;

D O I：

10.1007/s00220-013-1753-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain the asymptotics of the optimal global Holder exponent of the integrated density of states of the Fibonacci Hamiltonian for large and small couplings.

引用

页码：497 / 515

页数：19

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