Abstract
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 Equations297 (2021), 175–200]. As a consequence of our results, we provide a simpler characterization of Kerr and Li’s independence sequence entropy pairs (
$\mu $
-IN-pairs) when the measure is ergodic and the group is abelian.
Funder
Uniwersytet Jagielloński w Krakowie
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
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1. Sequence entropy tuples and mean sensitive tuples;Ergodic Theory and Dynamical Systems;2023-02-20