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math.DS2026
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…
math.DS2026
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…