Measure-theoretic sequence entropy pairs and mean sensitivity
| Autor: | García-Ramos, Felipe, Muñoz-López, Victor |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Ergod. Th. Dynam. Sys. 44 (2024) 1531-1540 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1017/etds.2023.65 |
| Popis: | 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. Comment: 12 pages |
| Databáze: | arXiv |
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