A variational principle for entropy of a random dynamical system
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913262284570624 |
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| author | Lian, Yuan |
| author_facet | Lian, Yuan |
| contents | In this article, I give a definition of topological entropy for random dynamical systems associated to an infinite countable discrete amenable group action. I obtain a variational principle between the topological entropy and measurable fiber entropy of a random dynamical system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07488 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A variational principle for entropy of a random dynamical system Lian, Yuan Dynamical Systems In this article, I give a definition of topological entropy for random dynamical systems associated to an infinite countable discrete amenable group action. I obtain a variational principle between the topological entropy and measurable fiber entropy of a random dynamical system. |
| title | A variational principle for entropy of a random dynamical system |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2403.07488 |