Ergodic measures with infinite entropy
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866916688701685760 |
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| author | Catsigeras, Eleonora Troubetzkoy, Serge |
| author_facet | Catsigeras, Eleonora Troubetzkoy, Serge |
| contents | We construct ergodic probability measures with infinite metric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such measures that converge to a zero-entropy measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_07221 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Ergodic measures with infinite entropy Catsigeras, Eleonora Troubetzkoy, Serge Dynamical Systems We construct ergodic probability measures with infinite metric entropy for typical continuous maps and homeomorphisms on compact manifolds. We also construct sequences of such measures that converge to a zero-entropy measure. |
| title | Ergodic measures with infinite entropy |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1901.07221 |