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Infinitely renormalizable diffeomorphisms of the disk at the boundary of chaos |
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| Authors: | Eleonora Catsigeras Jean-Marc Gambaudo Fernando Moreira |
| Institution: | Facultad de Ingeneria IMERL, C.C. 30, Montevideo, Uruguay ; I.N.L.N., 1361, route des lucioles, Sophia-Antipolis, 06560 Valbonne, France ; Departamento de Matemática, Faculdade de Ciências do Porto, Praça Gomes Teixeira, 4000 Porto, Portugal |
| Abstract: | We show that, among area contracting embeddings of the 2-disk, infinitely renormalizable maps with a bounded geometry either have positive topological entropy or correspond to a cascade of period doubling. |
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