Distribution in homology classes and discrete fractal dimension
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917348942807040 |
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| author | Everitt, James Sharp, Richard |
| author_facet | Everitt, James Sharp, Richard |
| contents | In this note we examine the proportion of periodic orbits of Anosov flows that lie in an infinite zero density subset of the first homology group. We show that on a logarithmic scale we get convergence to a discrete fractal dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11970 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Distribution in homology classes and discrete fractal dimension Everitt, James Sharp, Richard Dynamical Systems 37D20 (Primary) 37C27, 37C30, 37D35, 37D40 (Secondary) In this note we examine the proportion of periodic orbits of Anosov flows that lie in an infinite zero density subset of the first homology group. We show that on a logarithmic scale we get convergence to a discrete fractal dimension. |
| title | Distribution in homology classes and discrete fractal dimension |
| topic | Dynamical Systems 37D20 (Primary) 37C27, 37C30, 37D35, 37D40 (Secondary) |
| url | https://arxiv.org/abs/2311.11970 |