Andy Zucker

activity

20172024

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7 papers · 1 filter

math.DS2024

Topological groups with tractable minimal dynamics

Gianluca Basso, Andy Zucker

A Polish group $G$ has the generic point property if any minimal $G$ -flow admits a comeager orbit, or equivalently if the universal minimal flow (UMF) does. The class $\mathsf{GPP}…

math.DS2024

Ultracoproducts and weak containment for flows of topological groups

Andy Zucker

We develop the theory of ultracoproducts and weak containment for flows of arbitrary topological groups. This provides a nice complement to corresponding theories for p.m.p. action…

math.DS2020

Minimal model-universal flows for locally compact Polish groups

Colin Jahel, Andy Zucker

Let $G$ be a locally compact Polish group. A metrizable $G$ -flow $Y$ is called model-universal if by considering the various invariant probability measures on $Y$ , we can recover e…

math.DS2019

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

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.DS2018

Bernoulli disjointness and maximally almost periodic groups

Andy Zucker

We show that any discrete group containing an infinite, normal, maximally almost periodic subgroup has the Bernoulli Disjointness Property, or BDJ. Also, any group containing enoug…