Pointwise convergence of ergodic averages for polynomial actions of Ζd by translations on a nilmanifold

被引：32

作者：

Leibman, A ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43221 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2005年 / 25卷

关键词：

D O I：

10.1017/S0143385704000227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizing the one-parameter case, we prove that the orbit of a point on a compact nilmanifold X under a polynomial action of Z(d) by translations on X is uniformly distributed on the union of several sub-nilmanifolds of X. As a corollary we obtain the pointwise ergodic theorem for polynomial actions of Z(d) by translations on a nilmanifold.

引用

页码：215 / 225

页数：11