Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912235024023552 |
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| author | Chicalé, Ricardo Horita, Vanderlei |
| author_facet | Chicalé, Ricardo Horita, Vanderlei |
| contents | We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in arXiv:2312.00906. As a consequence of our approach, we obtain super-polynomial decay of correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00121 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set Chicalé, Ricardo Horita, Vanderlei Dynamical Systems 28D05 37A05 We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in arXiv:2312.00906. As a consequence of our approach, we obtain super-polynomial decay of correlations. |
| title | Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set |
| topic | Dynamical Systems 28D05 37A05 |
| url | https://arxiv.org/abs/2408.00121 |