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math.DS2023★ 1 cited
Joint ergodicity for functions of polynomial growth
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun
We provide necessary and sufficient conditions for joint ergodicity results for systems of commuting measure preserving transformations for an iterated Hardy field function of poly…
math.DS2023★ 1 cited
Total joint ergodicity for totally ergodic systems
Andreas Koutsogiannis, Wenbo Sun
Examining multiple ergodic averages whose iterates are integer parts of real valued polynomials for totally ergodic systems, we provide various characterizations of total joint erg…