Almost sure equidistribution in expansive families

被引：3

作者：

Bjorklund, Michael ^{[1
]}

Schnellmann, Daniel ^{[1
]}

机构：

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

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2009年 / 20卷 / 02期

关键词：

D O I：

10.1016/S0019-3577(09)00017-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study generic equidistribution in families of sequences of points on tori. We assume that the sequences are parameterized by some subset of a Euclidean space, and we formulate geometric conditions on the dependence so that equidistribution holds almost everywhere with respect to the Lebesgue measure on the parameter space. As a consequence, we can give a new proof of an old result by Koksma.

引用

页码：167 / 177

页数：11