Projectional entropy for actions of amenable groups
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917602735947776 |
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| author | Prusik, Michał |
| author_facet | Prusik, Michał |
| contents | In the current paper we attempt to transfer the notion of the projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible the equality of the entropy and the projectional entropy implies that the system has a product-like structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Projectional entropy for actions of amenable groups Prusik, Michał Dynamical Systems 37B05, 37B40 In the current paper we attempt to transfer the notion of the projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible the equality of the entropy and the projectional entropy implies that the system has a product-like structure. |
| title | Projectional entropy for actions of amenable groups |
| topic | Dynamical Systems 37B05, 37B40 |
| url | https://arxiv.org/abs/2403.01230 |