Critical exponents and dimension for generalised limit sets
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913406736400384 |
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| author | Feng, Tianyi Fraser, Jonathan M. |
| author_facet | Feng, Tianyi Fraser, Jonathan M. |
| contents | There is a beautiful and well-studied relationship between the Poincare exponent and the fractal dimensions of the limit set of a Kleinian group. Motivated by this, given an arbitrary discrete subset of the unit ball we define a critical exponent and investigate how it relates to the fractal dimensions of the associated generalised limit set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical exponents and dimension for generalised limit sets Feng, Tianyi Fraser, Jonathan M. Metric Geometry Dynamical Systems There is a beautiful and well-studied relationship between the Poincare exponent and the fractal dimensions of the limit set of a Kleinian group. Motivated by this, given an arbitrary discrete subset of the unit ball we define a critical exponent and investigate how it relates to the fractal dimensions of the associated generalised limit set. |
| title | Critical exponents and dimension for generalised limit sets |
| topic | Metric Geometry Dynamical Systems |
| url | https://arxiv.org/abs/2406.19252 |