Self-Joinings and Generic Extensions of Ergodic Systems

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-03-12 DOI:10.1134/S0016266323030048

V. V. Ryzhikov

引用次数: 0

Abstract

It is proved that the generic extensions of a dynamical system inherit the triviality of pairwise independent self-joinings. This property is related to well-known problems of joining theory and to Rokhlin’s famous multiple mixing problem.

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Ergodic 系统的自连接和通用扩展

摘要本文证明，动力系统的泛函扩展继承了成对独立自连接的三重性。这一性质与著名的连接理论问题和罗克林著名的多重混合问题有关。

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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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.