14 citations · 34 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
A pointwise ergodic theorem along return times of rapidly mixing systems
Sebastián Donoso, Alejandro Maass, Vicente Saavedra-Araya
We introduce a new class of sparse sequences that are ergodic and pointwise universally -good for ergodic averages. That is, sequences along which the ergodic averages converg…
Cube structures of the universal minimal system, nilsystems and applications
Axel Álvarez, Sebastián Donoso
We propose and develop an approach to study nilsystems and their proximal extensions using cube structures associated with the universal minimal system. We provide alternative proo…