8 citations · 13 across the 12 of their papers we have counts for
Showing 2021 · math.DSShow all
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math.DS2021★ 4 cited
Rigidity, weak mixing, and recurrence in abelian groups
Ethan M. Ackelsberg
The focus of this paper is the phenomenon of rigidity for measure-preserving actions of countable discrete abelian groups and its interactions with weak mixing and recurrence. We p…
math.DS2021
Multiple recurrence and popular differences for polynomial patterns in rings of integers
Ethan Ackelsberg, Vitaly Bergelson
We demonstrate that the phenomenon of popular differences (aka the phenomenon of large intersections) holds for natural families of polynomial patterns in rings of integers of numb…
math.DS2021
Multiple recurrence and large intersections for abelian group actions
Ethan Ackelsberg, Vitaly Bergelson, Andrew Best
The purpose of this paper is to study the phenomenon of large intersections in the framework of multiple recurrence for measure-preserving actions of countable abelian groups. Amon…