Anton Bernshteyn

activity

20162019

most citedFree Subshifts with Invariant Measures from the Lovász Local Lemma

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

collaborators

4 papers

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.CO2019

Improved Lower Bound for Difference Bases

Anton Bernshteyn, Michael Tait

A difference basis with respect to $n$ is a subset $A \subseteq Z$ such that $A - A \supseteq {1, \dots, n}$ . Rédei and Rényi showed that the minimum size of a differen…

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…

math.CO2016

Regular colorings and factors of regular graphs

Anton Bernshteyn, Omid Khormali, Ryan R. Martin +4

An $(r - 1, 1)$ -coloring of an $r$ -regular graph $G$ is an edge coloring such that each vertex is incident to $r - 1$ edges of one color and $1$ edge of a different color. In this paper…