On the Ergodic Theorem for Affine Actions on Hilbert Space

被引：1

作者：

Chifan, Ionut ^{[1
,2
]}

Sinclair, Thomas ^{[3
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] IMAR, Bucharest, Romania

[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2015年 / 22卷 / 03期

基金：

美国国家科学基金会;

关键词：

affine action; mean ergodic theorem; groups of polynomial growth; POLYNOMIAL-GROWTH; RANDOM-WALKS; COHOMOLOGY;

D O I：

10.36045/bbms/1442364590

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The note establishes a new weak mean ergodic theorem (Theorem A) for 1-cocycles associated to weakly mixing representations of amenable groups.

引用

页码：429 / 446

页数：18

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