Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929478624608256 |
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| author | Takahasi, Hiroki Tsujii, Masato |
| author_facet | Takahasi, Hiroki Tsujii, Masato |
| contents | For the heterochaos baker maps whose central direction is mostly neutral, we prove that correlations for Hölder continuous functions decay at an optimal polynomial rate of order $n^{-3/2}$. Our method of proof relies on a description of the action of a reduced Perron-Frobenius operator by means of a comparison to the symmetric simple random walk with an absorbing wall, aka `gambler's ruin problem'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center Takahasi, Hiroki Tsujii, Masato Dynamical Systems Probability For the heterochaos baker maps whose central direction is mostly neutral, we prove that correlations for Hölder continuous functions decay at an optimal polynomial rate of order $n^{-3/2}$. Our method of proof relies on a description of the action of a reduced Perron-Frobenius operator by means of a comparison to the symmetric simple random walk with an absorbing wall, aka `gambler's ruin problem'. |
| title | Polynomial rate of mixing for the heterochaos baker maps with mostly neutral center |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2408.16618 |