Cylinder Renormalization of Siegel Disks

DOI10.1080/10586458.2007.10128991zbMath1145.37028arXivmath/0603008OpenAlexW2087204720MaRDI QIDQ3512348

Michael Yampolsky, Denis G. Gaidashev

Publication date: 11 July 2008

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603008

zbMATH Keywords

renormalizationuniversalitySiegel diskBeltrami equationmeasurable Riemann mapping theorem

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25)

Related Items (10)

Renormalization of almost commuting pairs ⋮ Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ The Boundaries of Golden-Mean Siegel Disks in the Complex Quadratic Hénon Family Are Not Smooth ⋮ Unnamed Item ⋮ Period doubling in area-preserving maps: an associated one-dimensional problem ⋮ Renormalization and Siegel disks for complex Hénon maps ⋮ On the scaling ratios for Siegel disks ⋮ Towards understanding the theoretical challenges of numerical modeling of dynamical systems ⋮ Renormalization in the golden-mean semi-Siegel Hénon family: universality and non-rigidity ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

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