EQUIDISTRIBUTION OF DILATIONS OF POLYNOMIAL CURVES IN NILMANIFOLDS

被引：0

作者：

Bjorklund, Michael ^{[1
]}

Fish, Alexander ^{[2
]}

机构：

[1] KTH Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden

[2] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic behaviour under dilations of probability measures supported on polynomial curves in nilmanifolds. We prove, under some mild conditions, the effective equidistribution of such measures to the Haar measure. We also formulate a mean ergodic theorem for R-n-representations on Hilbert spaces, restricted to a moving phase of low dimension. Furthermore, we bound the necessary dilation of a given smooth curve in R-n so that the canonical projection onto T-n is epsilon-dense.

引用

页码：2111 / 2123

页数：13

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