Renormalization Towers and the Local Connectivity of Julia Sets for Unicritical Polynomials
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| Formato: | Recurso digital |
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2026
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| _version_ | 1866901726219468800 |
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| author | Revista, Zen MFC, 10 |
| author_facet | Revista, Zen MFC, 10 |
| contents | We establish the local connectivity of Julia sets for infinitely renormalizable unicritical polynomials via a transfinite induction scheme on the moduli of renormalization towers, proving the triviality of fibers in the Yoccoz puzzle construction. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18145983 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Renormalization Towers and the Local Connectivity of Julia Sets for Unicritical Polynomials Revista, Zen MFC, 10 Complex Dynamics Renormalization Local Connectivity Yoccoz Puzzles Unicritical Polynomials Holomorphic Motions Teichmüller Spaces Combinatorial Rigidity We establish the local connectivity of Julia sets for infinitely renormalizable unicritical polynomials via a transfinite induction scheme on the moduli of renormalization towers, proving the triviality of fibers in the Yoccoz puzzle construction. |
| title | Renormalization Towers and the Local Connectivity of Julia Sets for Unicritical Polynomials |
| topic | Complex Dynamics Renormalization Local Connectivity Yoccoz Puzzles Unicritical Polynomials Holomorphic Motions Teichmüller Spaces Combinatorial Rigidity |
| url | https://doi.org/10.5281/zenodo.18145983 |