Anton Bernshteyn

collaborators

3 papers

math.CO2025

Sunflowers in set systems with small VC-dimension

JÃ³zsef Balogh, Anton Bernshteyn, Michelle Delcourt +2

A family of $r$ distinct sets ${A_{1}, \dots, A_{r}}$ is an $r$ -sunflower if for all $1 ⩽ i < j ⩽ r$ and $1 ⩽ i^{'} < j^{'} ⩽ r$ , we have $A_i \cap A_j = A_…

math.DS2025

Flows with minimal subdynamics

Anton Bernshteyn, Joshua Frisch

Let $I^$ be a countably infinite discrete group. A $I^$ -flow $X$ (i.e., a nonempty compact Hausdorff space equipped with a continuous action of $I^$ ) is called $S$ -minimal for a su…

math.LO2025

Separating complexity classes of LCL problems on grids

Katalin Berlow, Anton Bernshteyn, Clark Lyons +1

We study the complexity of locally checkable labeling (LCL) problems on $Z^{n}$ from the point of view of descriptive set theory, computability theory, and factors of i.i.d.…