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math.DS2025
Ergodic averages for sparse corners
Nikos Frantzikinakis, Borys Kuca
We develop a framework for the study of the limiting behavior of multiple ergodic averages with commuting transformations when all iterates are given by the same sparse sequence; t…
math.DS2025
Resolving the joint ergodicity problem for Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
The joint ergodicity classification problem aims to characterize those sequences which are jointly ergodic along an arbitrary dynamical system if and only if they satisfy two natur…