A note on logarithmic mean equicontinuity
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912564743503872 |
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| author | Kwietniak, Dominik Li, Jian Pourmand, Habibeh |
| author_facet | Kwietniak, Dominik Li, Jian Pourmand, Habibeh |
| contents | We study the set of harmonic limits of empirical measures in topological dynamical systems. We obtain a characterization of unique ergodicity based of logarithmic (harmonic) mean convergence in place of Cesàro convergence. We introduce logarithmic mean equicontinuity and show that a topological dynamical system is logarithmically mean equicontinuous if and only if it is mean equicontinuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on logarithmic mean equicontinuity Kwietniak, Dominik Li, Jian Pourmand, Habibeh Dynamical Systems 37B05, 37B25, 37A05 We study the set of harmonic limits of empirical measures in topological dynamical systems. We obtain a characterization of unique ergodicity based of logarithmic (harmonic) mean convergence in place of Cesàro convergence. We introduce logarithmic mean equicontinuity and show that a topological dynamical system is logarithmically mean equicontinuous if and only if it is mean equicontinuous. |
| title | A note on logarithmic mean equicontinuity |
| topic | Dynamical Systems 37B05, 37B25, 37A05 |
| url | https://arxiv.org/abs/2502.04610 |