Recurrence properties of sequences of integers

被引：6

作者：

Fan AiHua ^{[1
]}

Schneider, Dominique ^{[2
]}

机构：

[1] Univ Picardie, UMR 6140, LAMFA, CNRS, F-80039 Amiens, France

[2] Univ Lille Nord France, CNRS, FR 2956, LMPA J Liouville, F-62228 Calais, France

来源：

SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 03期

关键词：

recurrent set; random sequence; Wiener-Wintner theorem; HARMONIC-ANALYSIS; BOHR-GROUP; THIN SETS; POINCARE; THEOREM;

D O I：

10.1007/s11425-010-0044-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to study the recurrence of sequences of integers, we investigate their L-2-exactness and Theta-Hartman property (Theta being a set of rational numbers). Two classes of sequences of integers are well studied, which are return times relative to a weakly mixing system and Bernoulli random sequences.

引用

页码：641 / 656

页数：16

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