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
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
收藏
页码:227 / +
页数:2
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