| Autor: |
Van Strien, S, De Faria, E, Clark, T |
| Přispěvatelé: |
Commission of the European Communities |
| Rok vydání: |
2022 |
| Předmět: |
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| Popis: |
The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of asymptotically holomorphic extensions of C r (r > 3) unimodal maps that are infinitely renormalizable of bounded type. Here we prove a version of the Fatou-Julia-Sullivan theorem and a topological straightening theorem in this setting. In particular, these maps do not have wandering domains and their Julia sets are locally connected. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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