Existence of Large deviations rate function for any $S$-unimodal map
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866910054888767488 |
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| author | Takahasi, Hiroki Tsujii, Masato |
| author_facet | Takahasi, Hiroki Tsujii, Masato |
| contents | For an arbitrary negative Schwarzian unimodal map with non-flat critical point, we establish the level-2 Large Deviation Principle (LDP) for empirical distributions. We also give an example of a multimodal map for which the level-2 LDP does not hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_07716 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Existence of Large deviations rate function for any $S$-unimodal map Takahasi, Hiroki Tsujii, Masato Dynamical Systems 37A50, 37D20, 37D25, 37D35, 37E05, 37E20 For an arbitrary negative Schwarzian unimodal map with non-flat critical point, we establish the level-2 Large Deviation Principle (LDP) for empirical distributions. We also give an example of a multimodal map for which the level-2 LDP does not hold. |
| title | Existence of Large deviations rate function for any $S$-unimodal map |
| topic | Dynamical Systems 37A50, 37D20, 37D25, 37D35, 37E05, 37E20 |
| url | https://arxiv.org/abs/1908.07716 |