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math.DS2024★ 1 cited
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…
math.DS2024
Joint transitivity for linear iterates
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun
We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result…