Rigidity, universality, and hyperbolicity of renormalization for critical circle maps with non-integer exponents

DOI10.1017/etds.2018.82zbMath1441.37049arXiv1505.00686OpenAlexW2962792811MaRDI QIDQ5107675

Igors Gorbovickis, Michael Yampolsky

Publication date: 28 April 2020

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

Full work available at URL: https://arxiv.org/abs/1505.00686

zbMATH Keywords

rigidityrenormalizationuniversalitylow-dimensional dynamicscritical circle map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25)

Related Items (8)

Renormalization of analytic multicritical circle maps with bounded type rotation numbers ⋮ Renormalization of almost commuting pairs ⋮ Circle homeomorphisms with breaks with no \(C^{2-\nu}\) conjugacy ⋮ Renormalization of bicritical circle maps ⋮ Automorphic measures and invariant distributions for circle dynamics ⋮ Renormalization for unimodal maps with non-integer exponents ⋮ Dynamics of multicritical circle maps ⋮ Analytic linearization of conformal maps of the annulus

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