Absolutely continuous spectrum for random operators on trees of finite cone type

被引：0

作者：

Matthias Keller

Daniel Lenz

Simone Warzel

机构：

[1] Friedrich-Schiller-Universität Jena,Mathematisches Institut

[2] Mathematisches Institut,Friedrich

[3] Zentrummathematik,Schiller

来源：

Journal d'Analyse Mathématique | 2012年 / 118卷

关键词：

Green Function; Continuous Spectrum; Anderson Model; Regular Tree; Cone Type;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the spectrum of random operators on a large class of trees. These trees have finitely many cone types and they can be constructed by a substitution rule. The random operators are perturbations of Laplace type operators either by random potentials or by random hopping terms, i.e., perturbations of the off-diagonal elements. We prove stability of arbitrary large parts of the absolutely continuous spectrum for sufficiently small but extensive disorder.

引用

页码：363 / 396

页数：33

共 36 条

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