Anton Bernshteyn

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20162020

most citedFree Subshifts with Invariant Measures from the Lovász Local Lemma

6 citations · 6 across the 1 of their papers we have counts for

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math.DS2019

A Short Proof of Bernoulli Disjointness via the Local Lemma

Anton Bernshteyn

Recently, Glasner, Tsankov, Weiss, and Zucker showed that if $Γ$ is an infinite discrete group, then every minimal $Γ$ -flow is disjoint from the Bernoulli shift $2^{Γ}$ . Their proof…

math.DS2018

Ergodic Theorems for the Shift Action and Pointwise Versions of The Abért--Weiss Theorem

Anton Bernshteyn

Let $Γ$ be a countably infinite group. A common theme in ergodic theory is to start with a probability measure-preserving (p.m.p.) action $Γ ↷ (X, μ)$ and a map $f \i…

math.DS2018

Multiplication of Weak Equivalence Classes May Be Discontinuous

Anton Bernshteyn

For a countably infinite group $Γ$ , let $W_{Γ}$ denote the space of all weak equivalence classes of measure-preserving actions of $Γ$ on atomless standard probability space…

math.DS2018

Building Large Free Subshifts Using the Local Lemma

Anton Bernshteyn

Gao, Jackson, and Seward proved that every countably infinite group $Γ$ admits a nonempty free subshift $X \subseteq 2^{Γ}$ . Here we strengthen this result by showing that free subsh…

math.DS2017★ 6 cited

Free Subshifts with Invariant Measures from the Lovász Local Lemma

Anton Bernshteyn

Gao, Jackson, and Seward (see arXiv:1201.0513) proved that every countably infinite group $Γ$ admits a nonempty free subshift $X \subseteq {0, 1}^{Γ}$ . Furthermore, a theorem of Sew…