A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system

IF 0.7 1区数学 Q2 MATHEMATICS

Journal of Modern Dynamics Pub Date : 2020-05-14 DOI:10.3934/jmd.2021015

E. Glasner, B. Weiss

引用次数: 0

Abstract

We show the existence, over an arbitrary infinite ergodic \begin{document}$ \mathbb{Z} $\end{document}-dynamical system, of a generic ergodic relatively distal extension of arbitrary countable rank and arbitrary infinite compact extending groups (or more generally, infinite quotients of compact groups) in its canonical distal tower.

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在任意无限遍历系统上具有任意可数高度的一般远塔

我们证明了在任意无限遍历的\beargin｛document｝$\mathbb｛Z｝$\end上的存在性{document}-dynamical系统，任意可数秩的一般遍历相对远拓和其正则远塔中的任意无限紧扩张群（或更一般地说，紧群的无限商）。

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

Journal of Modern Dynamics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including: Number theory Symplectic geometry Differential geometry Rigidity Quantum chaos Teichmüller theory Geometric group theory Harmonic analysis on manifolds. The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Anatole Katok Center for Dynamical Systems and Geometry at the Pennsylvania State University.