On invariant line fields of rational functions
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913481852190720 |
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| author | Levin, Genadi |
| author_facet | Levin, Genadi |
| contents | Adopting the approach of [7] we study rational function carrying invariant line fields on the Julia set. In particular, we show that under certain weak conditions all possible measurable invariant line fields of a rational function on its Julia set are determined, in a precise sense, by a finite list of canonically defined holomorphic line fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14936 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On invariant line fields of rational functions Levin, Genadi Dynamical Systems Complex Variables Adopting the approach of [7] we study rational function carrying invariant line fields on the Julia set. In particular, we show that under certain weak conditions all possible measurable invariant line fields of a rational function on its Julia set are determined, in a precise sense, by a finite list of canonically defined holomorphic line fields. |
| title | On invariant line fields of rational functions |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2408.14936 |