Complex bounds for renormalization of critical circle maps

DOI10.1017/S0143385799120947zbMath0918.58049arXivmath/9510219OpenAlexW2136974833MaRDI QIDQ4238461

Michael Yampolsky

Publication date: 19 August 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9510219

zbMATH Keywords

renormalizationsirrational rotation numbercritical circle mapscomplex boundsSiegel Julia sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items (25)

Rigidity of smooth critical circle maps ⋮ Quasisymmetric orbit-flexibility of multicritical circle maps ⋮ Dynamics on the Circle ⋮ Renormalization of analytic multicritical circle maps with bounded type rotation numbers ⋮ Complex bounds for real maps ⋮ Real bounds and Lyapunov exponents ⋮ Renormalization of almost commuting pairs ⋮ Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents ⋮ Renormalization of bicritical circle maps ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ An application of the degenerate Beltrami equation: quadratic polynomials with a Siegel disk ⋮ An asymptotic universal focal decomposition for non-isochronous potentials ⋮ Beau bounds for multicritical circle maps ⋮ Rigidity of critical circle maps ⋮ Mating the Basilica with a Siegel disk ⋮ Renormalization and Siegel disks for complex Hénon maps ⋮ On PZ type Siegel disks of the sine family ⋮ Regularity of Conjugacies between Critical Circle Maps: An Experimental Study ⋮ Lebesgue measure of Feigenbaum Julia sets ⋮ Dynamics of multicritical circle maps ⋮ Constructing locally connected non-computable Julia sets ⋮ Breakdown of invariant attractors for the dissipative standard map ⋮ Non-computable impressions of computable external rays of quadratic polynomials ⋮ Mating a Siegel disk with the Julia set of a real quadratic polynomial ⋮ Mating Siegel quadratic polynomials

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