Joint transitivity for linear iterates

被引：0

作者：

Donoso, Sebastian ^{[1
,2
,3
]}

Koutsogiannis, Andreas ^{[4
]}

Sun, Wenbo ^{[5
]}

机构：

[1] Univ Chile, Dept Ingn Matemat, Beauchef 851, Santiago, Chile

[2] Univ Chile, Ctr Modelamiento Matemat, Beauchef 851, Santiago, Chile

[3] CNRS, IRL 2807, Beauchef 851, Santiago, Chile

[4] Aristotle Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

[5] Virginia Tech, Dept Math, 225 Stanger St, Blacksburg, VA 24061 USA

来源：

FORUM OF MATHEMATICS SIGMA | 2025年 / 13卷

关键词：

POLYNOMIAL AVERAGES; MULTIPLE RECURRENCE; ERGODIC AVERAGES; MINIMAL SYSTEMS; HARDY SEQUENCES; THEOREM; SZEMEREDI; PRODUCT;

D O I：

10.1017/fms.2024.138

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems.

引用

页数：13

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