On variational principle for upper metric mean dimension with potential
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913625713672192 |
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| author | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| author_facet | Yang, Rui Chen, Ercai Zhou, Xiaoyao |
| contents | Borrowing the idea of topological pressure determining measure-theoretical entropy in topological dynamical systems, we establish a variational principle for upper metric mean dimension with potential in terms of upper measure-theoretical metric mean dimension of invariant measures. Moreover, the notion of equilibrium state is introduced to characterize these measures that attain the supremum of the variational principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_01901 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On variational principle for upper metric mean dimension with potential Yang, Rui Chen, Ercai Zhou, Xiaoyao Dynamical Systems Borrowing the idea of topological pressure determining measure-theoretical entropy in topological dynamical systems, we establish a variational principle for upper metric mean dimension with potential in terms of upper measure-theoretical metric mean dimension of invariant measures. Moreover, the notion of equilibrium state is introduced to characterize these measures that attain the supremum of the variational principle. |
| title | On variational principle for upper metric mean dimension with potential |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2207.01901 |