4 citations · 9 across the 6 of their papers we have counts for
6 papers
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…
Asymptoticity, automorphism groups and strong orbit equivalence
Haritha Cheriyath, Sebastián Donoso
Given any strong orbit equivalence class of minimal Cantor systems and any cardinal number that is finite, countable, or the continuum, we show that there exists a minimal subshift…
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…
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…
Pointwise convergence of some multiple ergodic averages
Sebastián Donoso, Wenbo Sun
We show that for every ergodic system with commuting transformations, the average \[\frac{1}{N^{d+1}} \sum_{0\leq n_1,\ldots,n_d \leq N-1} \sum_{0\leq n\leq…
Dynamical cubes and a criteria for systems having products extensions
Sebastián Donoso, Wenbo Sun
For minimal -topological dynamical systems, we introduce a cube structure and a variation of the regionally proximal relation for actions, which allo…