Cylinder renormalization for Siegel discs and a constructive measurable Riemann mapping theorem

DOI10.1088/0951-7715/20/3/008zbMath1133.37319arXivmath/0510472OpenAlexW2038372035MaRDI QIDQ5434958

Denis G. Gaidashev

Publication date: 14 January 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510472

zbMATH Keywords

universalitynumerical approximationBeltrami equationconformal isomorphismhyperbolicity of renormalizationholomorphic maps with a Siegel disc

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Integral transforms of special functions (44A20) Integral operators (45P05) Renormalization of holomorphic dynamical systems (37F25)

Related Items (6)

Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ Unnamed Item ⋮ PERIOD DOUBLING RENORMALIZATION FOR AREA-PRESERVING MAPS AND MILD COMPUTER ASSISTANCE IN CONTRACTION MAPPING PRINCIPLE ⋮ Automatic differentiation for Fourier series and the radii polynomial approach ⋮ On the scaling ratios for Siegel disks ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

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