Joint transitivity for linear iterates
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914749392879616 |
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| author | Donoso, Sebastián Koutsogiannis, Andreas Sun, Wenbo |
| author_facet | Donoso, Sebastián Koutsogiannis, Andreas Sun, Wenbo |
| contents | We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Joint transitivity for linear iterates Donoso, Sebastián Koutsogiannis, Andreas Sun, Wenbo Dynamical Systems Primary: 37B05, Secondary: 37B02, 37B20 We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems. |
| title | Joint transitivity for linear iterates |
| topic | Dynamical Systems Primary: 37B05, Secondary: 37B02, 37B20 |
| url | https://arxiv.org/abs/2404.07876 |