ON THE SPECTRAL-RADIUS OF A POSITIVE KERNEL

被引：0

作者：

SUNYACH, C

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1991年 / 313卷 / 05期

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the spectral radius (with respect to the Haar measure) of a random walk on a group is one if and only if the group is amenable. We prove a similar result for some cocycle even when the spectral radius is < 1, for a non-necessarily invariant kernel. We also prove that there exist slow diffusions (the spectral radius is one) in random media on a tree.

引用

页码：223 / 225

页数：3

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