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arXiv · 2210.15004

Measure-theoretic sequence entropy pairs and mean sensitivity

Felipe García-Ramos·Victor Muñoz-López
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Abstract

We characterize measure-theoretic sequence entropy pairs of continuous abelian group actions using mean sensitivity. This solves an open question mentioned by Li and Yu. 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.

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Felipe García-Ramos, Victor Muñoz-López. 2022-10-26. Measure-theoretic sequence entropy pairs and mean sensitivity. https://doi.org/10.1017/etds.2023.65

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