A simple proof of Sullivan's complex bounds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912858080542720 |
|---|---|
| author | Levin, Genadi |
| author_facet | Levin, Genadi |
| contents | About 35 years ago Dennis Sullivan proved a precompactness property ("complex bounds") for infinitely renormalizable real quadratic polynomials with bounded combinatorics. We present a simple "soft" proof of this remarkable result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21326 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A simple proof of Sullivan's complex bounds Levin, Genadi Dynamical Systems Complex Variables About 35 years ago Dennis Sullivan proved a precompactness property ("complex bounds") for infinitely renormalizable real quadratic polynomials with bounded combinatorics. We present a simple "soft" proof of this remarkable result. |
| title | A simple proof of Sullivan's complex bounds |
| topic | Dynamical Systems Complex Variables |
| url | https://arxiv.org/abs/2601.21326 |