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Measure-theoretic sequence entropy pairs and mean sensitivity
Published online by Cambridge University Press: 19 September 2023
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’s independence sequence entropy pairs ($\mu $-IN-pairs) when the measure is ergodic and the group is abelian.
- Original Article
- © The Author(s), 2023. Published by Cambridge University Press