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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.00241 |
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| _version_ | 1866908531383336960 |
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| author | Coates, Douglas Gelfert, Katrin |
| author_facet | Coates, Douglas Gelfert, Katrin |
| contents | We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00241 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems Coates, Douglas Gelfert, Katrin Dynamical Systems 37A05, 37C45 37A05 We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension. |
| title | Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems |
| topic | Dynamical Systems 37A05, 37C45 37A05 |
| url | https://arxiv.org/abs/2509.00241 |