2 citations · 7 across the 16 of their papers we have counts for
18 papers
Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials
Andreas Koutsogiannis, Borys Kuca, Wenbo Sun
We investigate manifestations of the Nilpotent Heuristic, which posits that recurrence and convergence phenomena known for measure-preserving -systems extend to nilpo…
Joint ergodicity - 40 years on
Borys Kuca
Recent years have seen dramatic progress in the study of joint ergodicity, i.e. a scenario in which a multiple ergodic average converges in norm to the product of integrals of indi…
Ergodic averages for sparse corners
Nikos Frantzikinakis, Borys Kuca
We develop a framework for the study of the limiting behavior of multiple ergodic averages with commuting transformations when all iterates are given by the same sparse sequence; t…
Resolving the joint ergodicity problem for Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
The joint ergodicity classification problem aims to characterize those sequences which are jointly ergodic along an arbitrary dynamical system if and only if they satisfy two natur…
Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
We develop a robust structure theory for multiple ergodic averages of commuting transformations along Hardy sequences of polynomial growth. We then apply it to derive a number of n…
Corners with polynomial side length
Noah Kravitz, Borys Kuca, James Leng
A -polynomial corner, for a polynomial, is a triple of points for . In the case where has an…