A. I. Bashtanov, “Conjugacy Classes are Dense in the Space of Mixing <nobr>$\mathbb{Z}^d$</nobr>-Actions”, Mat. Zametki, 2016, Volume 99, Issue 1,Pages <nobr>9

This article is cited in 4 papers

Papers published in the English version of the journal

Conjugacy Classes are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions

A. I. Bashtanov

Abstract: The density of each conjugacy class in the space of mixing $\mathbb{Z}^d$-actions is proved. This result implies the genericity of rank $1$, the triviality of the centralizer, and the absence of factors.

Keywords: mixing, measure-preserving transformation, ergodic theory, genericity, Halmos' conjugacy lemma, group action, density, conjugacy class.

Received: 06.06.2015

Language: English

DOI: 10.1134/S0001434616010028