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math.DS2022
Degree lowering for ergodic averages along arithmetic progressions
Nikos Frantzikinakis, Borys Kuca
We examine the limiting behavior of multiple ergodic averages associated with arithmetic progressions whose differences are elements of a fixed integer sequence. For each , w…
math.DS2022
Seminorm control for ergodic averages with commuting transformations and pairwise dependent polynomial iterates
Nikos Frantzikinakis, Borys Kuca
We examine multiple ergodic averages of commuting transformations with polynomial iterates in which the polynomials may be pairwise dependent. In particular, we show that such aver…
math.DS2022★ 2 cited
Joint ergodicity for commuting transformations and applications to polynomial sequences
Nikos Frantzikinakis, Borys Kuca
We give necessary and sufficient conditions for joint ergodicity results of collections of sequences with respect to systems of commuting measure preserving transformations. Combin…