From decay of correlations to recurrence times in systems with contracting directions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866908615432994816 |
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| author | Alves, José F. Matias, João S. |
| author_facet | Alves, José F. Matias, João S. |
| contents | Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contracting directions). Here, we obtain reciprocal results also for invertible systems (with contracting directions). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From decay of correlations to recurrence times in systems with contracting directions Alves, José F. Matias, João S. Dynamical Systems 37A05, 37A25, 37D25, 37D30 Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contracting directions). Here, we obtain reciprocal results also for invertible systems (with contracting directions). |
| title | From decay of correlations to recurrence times in systems with contracting directions |
| topic | Dynamical Systems 37A05, 37A25, 37D25, 37D30 |
| url | https://arxiv.org/abs/2401.06024 |