abstract

• We characterize measure-theoretic sequence entropy pairs of continuous actions of abelian groups using mean sensitivity. This addresses an open question of Li and Yu [On mean sensitive tuples. J. Differential Equations 297 (2021), 175-200]. As a consequence of our results, we provide a simpler characterization of Kerr and Li%27s independence sequence entropy pairs (-IN-pairs) when the measure is ergodic and the group is abelian.

authors

• García Ramos Aguilar Felipe

publication date

• 2024-01-01

funding provided via

• Jagiellonian University  Grant

published in

• Ergodic Theory and Dynamical Systems  Journal

keywords

• entropy pairs; IN-pairs; mean sensitivity; sequence entropy pairs

Digital Object Identifier (DOI)

• 10.1017/etds.2023.65

PubMed ID

start page

• 1531

end page

• 1540

volume

• 44

issue

• 6