Measure-theoretic sequence entropy pairs and mean sensitivity
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914787507568640 |
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| author | García-Ramos, Felipe Muñoz-López, Victor |
| author_facet | García-Ramos, Felipe Muñoz-López, Victor |
| contents | 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 ($μ$-IN-pairs) when the measure is ergodic and the group is abelian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_15004 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Measure-theoretic sequence entropy pairs and mean sensitivity García-Ramos, Felipe Muñoz-López, Victor Dynamical Systems 37A35, 37B05 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 ($μ$-IN-pairs) when the measure is ergodic and the group is abelian. |
| title | Measure-theoretic sequence entropy pairs and mean sensitivity |
| topic | Dynamical Systems 37A35, 37B05 |
| url | https://arxiv.org/abs/2210.15004 |