39 citations · 48 across the 6 of their papers we have counts for
6 papers · 1 filter
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 $…
Pointwise convergence for cubic and polynomial ergodic averages of non-commuting transformations
Qing Chu, Nikos Frantzikinakis
We study the limiting behavior of multiple ergodic averages involving several not necessarily commuting measure preserving transformations. We work on two types of averages, one th…
Multiple recurrence for two commuting transformations
Qing Chu
This paper is devoted to a study of the multiple recurrence of two commuting transformations. We derive a result which is similar but not identical to that of one single transforma…
Ergodic averages of commuting transformations with distinct degree polynomial iterates
Qing Chu, Nikos Frantzikinakis, Bernard Host
We prove mean convergence, as , for the multiple ergodic averages , where ar…
Convergence of multiple ergodic averages along cubes for several commuting transformations
Qing Chu
We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use reli…
Convergence of weighted polynomial multiple ergodic averages
Qing Chu
We study here weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weigh…