CHARACTERISTIC FACTORS FOR COMMUTING ACTIONS OF AMENABLE GROUPS

被引：1

作者：

Robertson, Donald ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2016年 / 129卷

关键词：

ERGODIC AVERAGES; SZEMEREDI; THEOREM; CONVERGENCE; EXTENSIONS;

D O I：

10.1007/s11854-016-0019-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe characteristic factors for certain averages arising from commuting actions of locally compact second-countable amenable groups. Under some ergodicity assumptions, we use these factors to prove a form of multiple recurrence for three such actions.

引用

页码：165 / 196

页数：32

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