Doubly Intermittent Full Branch Maps with Critical Points and Singularities
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866911887544811520 |
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| author | Coates, Douglas Luzzatto, Stefano Mubarak, Muhammad |
| author_facet | Coates, Douglas Luzzatto, Stefano Mubarak, Muhammad |
| contents | We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measures, study its rate of decay of correlation and prove a number of limit theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12725 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Doubly Intermittent Full Branch Maps with Critical Points and Singularities Coates, Douglas Luzzatto, Stefano Mubarak, Muhammad Dynamical Systems 37E05 We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measures, study its rate of decay of correlation and prove a number of limit theorems. |
| title | Doubly Intermittent Full Branch Maps with Critical Points and Singularities |
| topic | Dynamical Systems 37E05 |
| url | https://arxiv.org/abs/2209.12725 |