On orthogonality to uniquely ergodic systems

Autor:	Górska, Martyna, Lemańczyk, Mariusz, de la Rue, Thierry
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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 variations of Boshernitzan's problem involving characteristic classes are considered. As an application, we characterize sequences orthogonal to all uniquely ergodic systems whose (unique) invariant measure yields a discrete spectrum automorphism as those satisfying an averaged Chowla property. Comment: 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.07907 Zobrazit plný text záznamu View this record from Arxiv