Some Spectral and Geometric Aspects of Countable Groups

被引：0

作者：

Bendikov, Alexander ^{[1
]}

Bobikau, Barbara ^{[1
]}

Pittet, Christophe ^{[2
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50138 Wroclaw, Poland

[2] CMI Univ AIX Marseille, Marseille, France

来源：

RANDOM WALKS, BOUNDARIES AND SPECTRA | 2011年 / 64卷

基金：

奥地利科学基金会;

关键词：

Probability measures on graphs and groups; geometric group theory; spectral theory and eigenvalue problems for Laplace operators;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We discuss the relationship between the isospectral profile and the spectral distribution of a Laplace operator on a countable group. In the case of locally finite countable groups, we emphasize the relevance of the metric associated to a natural Markov operator: it is an ultra-metric whose balls are optimal sets for the isospectral profile.

引用

页码：227 / +

页数：2

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