Renormalization in the golden-mean semi-Siegel Hénon family: universality and non-rigidity

DOI10.1017/etds.2018.83zbMath1450.37045arXiv1707.04997OpenAlexW2963694298MaRDI QIDQ5220088

Jonguk Yang

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1707.04997

zbMATH Keywords

tilinggolden meanlow-dimensional dynamicssmooth dynamicssemi-Siegel Hénon maps

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25) Tiling dynamics (37B52) Higher-dimensional holomorphic and meromorphic dynamics (37F80)

Cites Work

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• Universal scaling behaviour for iterated maps in the complex plane
• Renormalization group analysis of quasi-periodicity in analytic maps
• Are there critical points on the boundaries of singular domains?
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• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Renormalization and Siegel disks for complex Hénon maps
• Renormalization in the Hénon family. I: Universality but non-rigidity
• The Boundaries of Golden-Mean Siegel Disks in the Complex Quadratic Hénon Family Are Not Smooth
• Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters
• Cylinder Renormalization of Siegel Disks
• Existence of the Siegel disc renormalization fixed point

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