Convergence of Conze-Lesigne averages

被引：24

作者：

Host, B ^{[1
]}

Kra, B ^{[1
]}

机构：

[1] Univ Marne la Vallee, Equipe Analyse & Math Appliquees, F-77454 Marne La Vallee, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2001年 / 21卷

关键词：

D O I：

10.1017/S0143385701001249

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the convergence of N-1 Sigmaf(1)(T(a1n)x)f(2)(T(a2n)x)f(3)(T(a3n)x), for a measure-preserving system (X, B, mu, T) and f(1), f(2), f(3) is an element of L(infinity)(mu). This generalizes the theorem of Conze and Lesigne on such expressions and simplifies the proof. We also obtain a description of the limit.

引用

页码：493 / 509

页数：17

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