Entropy formula for C1 expanding maps
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910141678354432 |
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| author | Catsigeras, Eleonora Gómez, Fernando Valenzuela |
| author_facet | Catsigeras, Eleonora Gómez, Fernando Valenzuela |
| contents | We prove that the (necessarily existing) pseudo-physical or SRB-like measures of C1 expanding dynamical systems on a compact Riemannian manifold satisfy Pesin entropy formula. We include examples of C1 (non C1 plus Holder) expanding maps on the circle and on the 2 torus and study their pseudo-physical measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04959 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Entropy formula for C1 expanding maps Catsigeras, Eleonora Gómez, Fernando Valenzuela Dynamical Systems Primary 37D20, Secondary 37D35, 37A35, 37A60 We prove that the (necessarily existing) pseudo-physical or SRB-like measures of C1 expanding dynamical systems on a compact Riemannian manifold satisfy Pesin entropy formula. We include examples of C1 (non C1 plus Holder) expanding maps on the circle and on the 2 torus and study their pseudo-physical measures. |
| title | Entropy formula for C1 expanding maps |
| topic | Dynamical Systems Primary 37D20, Secondary 37D35, 37A35, 37A60 |
| url | https://arxiv.org/abs/2604.04959 |