Andy Zucker

activity

20132024

most citedBernoulli disjointness

18 citations · 56 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.DS2019★ 3 cited

Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable

Yonatan Gutman, Todor Tsankov, Andy Zucker

Answering a question of Uspenskij, we prove that if $X$ is a closed manifold of dimension $2$ or higher or the Hilbert cube, then the universal minimal flow of $Homeo (X)$ …

math.DS2019★ 3 cited

Minimal flows with arbitrary centralizer

Andy Zucker

Given any pair of countable groups $G$ and $H$ with $G$ infinite, we construct a minimal, free, Cantor $G$ -flow $X$ so that $H$ embeds into the group of automorphisms of $X$ .

math.DS2019

A note on minimal models for pmp actions

Andy Zucker

Given a countable group $G$ , we say that a metrizable flow $Y$ is model-universal if by considering the various invariant measures on $Y$ , we can recover every free measure-preserv…

math.DS2019★ 1 cited

Topological dynamics of Polish group extensions

Colin Jahel, Andy Zucker

We consider a short exact sequence $1 \to H \to G \to K \to 1$ of Polish groups and consider what can be deduced about the dynamics of $G$ given information about the dynamics of $H$ a…

math.DS2019★ 18 cited

Bernoulli disjointness

Eli Glasner, Todor Tsankov, Benjamin Weiss +1

Generalizing a result of Furstenberg, we show that for every infinite discrete group $G$ , the Bernoulli flow $2^{G}$ is disjoint from every minimal $G$ -flow. From this, we deduce tha…