40 citations · 489 across the 52 of their papers we have counts for
4 papers · 2 filters
Ergodic theorems for polynomials in nilpotent groups
Pavel Zorin-Kranich
The principal results proved in this expository thesis are the IP polynomial Szemerédi theorem for nilpotent groups and the multiple term return times theorem with nilsequence weig…
Lower bound in the Roth theorem for amenable groups
Qing Chu, Pavel Zorin-Kranich
Let , be two commuting probability measure-preserving actions of a countable amenable group such that the group spanned by these actions acts ergodically. We show that $…
Multiple recurrence for non-commuting transformations along rationally independent polynomials
Nikos Frantzikinakis, Pavel Zorin-Kranich
We prove a multiple recurrence result for arbitrary measure-preserving transformations along polynomials in two variables of the form , with rationally independent '…
Return times theorem for amenable groups
Pavel Zorin-Kranich
We extend Bourgain's return times theorem to arbitrary locally compact second countable amenable groups. The proof is based on a version of the Bourgain--Furstenberg--Katznelson--O…