Anton Bernshteyn

activity

20162026

most citedFree Subshifts with Invariant Measures from the Lovász Local Lemma

6 citations · 6 across the 2 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.CO2018

Independent Sets in Algebraic Hypergraphs

Anton Bernshteyn, Michelle Delcourt, Anush Tserunyan

In this paper we study hypergraphs definable in an algebraically closed field. Our goal is to show, in the spirit of the so-called transference principles in extremal combinatorics…

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.CO2018

DP-Colorings of Hypergraphs

Anton Bernshteyn, Alexandr Kostochka

Classical problems in hypergraph coloring theory are to estimate the minimum number of edges, $m_{2} (r)$ (respectively, $m_{2}^{*} (r)$ ), in a non- $2$ -colorable $r$ -uniform (respective…

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…