10 citations · 17 across the 10 of their papers we have counts for
4 papers · 1 filter
Mixing of the BCZ Map
Albert Artiles, Andrew Best, Matteo Bordignon
We prove that the Boca--Cobeli--Zaharescu (BCZ) map is strongly mixing with respect to normalized Lebesgue measure on the BCZ triangle.
Polynomial ergodic averages for certain countable ring actions
Andrew Best, Andreu Ferré Moragues
A recent result of Frantzikinakis establishes sufficient conditions for joint ergodicity in the setting of -actions. We generalize this result for actions of second-cou…
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…
The Furstenberg-Sárközy Theorem and Asymptotic Total Ergodicity Phenomena in Modular Rings
Vitaly Bergelson, Andrew Best
The Furstenberg-Sárközy theorem asserts that the difference set of a subset with positive upper density intersects the image set of any polynomial $P \…