遍历动作的弱同宿群

Q2 Mathematics

Transactions of the Moscow Mathematical Society Pub Date : 2019-01-25 DOI:10.1090/mosc/289

V. Ryzhikov

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引用次数: 2

摘要

这项工作包含以下结果：同宿群的轨迹填充度，它们与因子的联系，K性质，弱多重混合；高斯和泊松作用下弱同宿群的遍历性；关于秩为1的作用类的弱同宿群的平凡性。讨论了一些悬而未决的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Weakly homoclinic groups of ergodic actions

This work contains the following results: the trajectory fullness of the homoclinic groups, their connections with factors, K-property, weak multiple mixing; the ergodicity of the weakly homoclinic group for Gauss and Poisson actions; the triviality of the weakly homoclinic group for classes of rank-1 actions. Some open problems are discussed.

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来源期刊

Transactions of the Moscow Mathematical Society Mathematics-Mathematics (miscellaneous)

自引率

0.00%

发文量

期刊介绍： This journal, a translation of Trudy Moskovskogo Matematicheskogo Obshchestva, contains the results of original research in pure mathematics.