2 papers
math.DS2024
On orthogonality to uniquely ergodic systems
Martyna Górska, Mariusz Lemańczyk, Thierry de la Rue
We solve Boshernitzan's problem of characterization (in terms of so called Furstenberg systems) of bounded sequences that are orthogonal to all uniquely ergodic systems. Some varia…
math.DS2023
Joining properties of automorphisms disjoint with all ergodic systems
Przemysław Berk, Martyna Górska, Thierry de la Rue
We study the class of automorphisms which are disjoint with all ergodic systems. We prove that the identities are the only multipliers of that is, each aut…