Hyperbolicity of renormalization for bi-cubic circle maps with bounded combinatorics

MaRDI QIDQ6600678

Gabriela Estevez, Michael Yampolsky

Publication date: 10 September 2024

Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)

zbMATH Keywords

renormalization operatorhyperbolicity of renormalizationbi-cubic circle mapsbounded type rotation number

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Combinatorial dynamics (types of periodic orbits) (37E15) Universality and renormalization of dynamical systems (37E20)

Cites Work

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• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Holomorphic families of injections
• Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
• Hyperbolicity of renormalization of critical circle maps
• Renormalization horseshoe for critical circle maps
• Beau bounds for multicritical circle maps
• Dynamics of cubic Siegel polynomials
• Rigidity of critical circle mappings. I
• Asymptotic rigidity of scaling ratios for critical circle mappings
• Complex bounds for renormalization of critical circle maps
• Real bounds and quasisymmetric rigidity of multicritical circle maps
• Rigidity of critical circle mappings II
• Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents
• Renormalization of bi-cubic circle maps

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