Real bounds and quasisymmetric rigidity of multicritical circle maps

DOI10.1090/tran/7177zbMath1388.37048arXiv1511.09056OpenAlexW2963131338WikidataQ111288287 ScholiaQ111288287MaRDI QIDQ4642520

Edson de Faria, Gabriela Estevez

Publication date: 23 May 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09056

zbMATH Keywords

dynamical partitionmulticritical circle mapreal boundquasisymmetric rigidity

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the circle (37E10) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Universality and renormalization of dynamical systems (37E20)

Related Items (12)

Quasisymmetric orbit-flexibility of multicritical circle maps ⋮ Renormalization of analytic multicritical circle maps with bounded type rotation numbers ⋮ Real bounds and Lyapunov exponents ⋮ Rigidity for piecewise smooth circle homeomorphisms and certain GIETs ⋮ Hausdorff dimension of invariant measures of multicritical circle maps ⋮ Renormalization of bicritical circle maps ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ Invariant measure of a circle map with a mixed type of singularities ⋮ Quasi-symmetric conjugacy for circle maps with a flat interval ⋮ Beau bounds for multicritical circle maps ⋮ Dynamics of multicritical circle maps ⋮ There are no σ-finite absolutely continuous invariant measures for multicritical circle maps ^*

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