Renormalization and Siegel disks for complex Hénon maps

DOI10.4171/JEMS/1028zbMath1470.37071arXiv1604.07069OpenAlexW3113314571MaRDI QIDQ2031662

Michael Yampolsky, Remus Radu, Denis G. Gaidashev

Publication date: 10 June 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07069

zbMATH Keywords

renormalizationHénon mapSiegel disk

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Universality and renormalization of dynamical systems (37E20) Renormalization of holomorphic dynamical systems (37F25)

Related Items (4)

Renormalization in the golden-mean semi-Siegel Hénon family: non-quasisymmetry ⋮ Unnamed Item ⋮ Structural instability of semi-Siegel Hénon maps ⋮ Renormalization in the golden-mean semi-Siegel Hénon family: universality and non-rigidity

Cites Work

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• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• Hénon mappings in the complex domain. I: The global topology of dynamical space
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• Rigidity of critical circle mappings. I
• Renormalization of almost commuting pairs
• Renormalization in the Hénon family. I: Universality but non-rigidity
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Iteration of analytic functions
• Hedgehogs in higher dimensions and their applications
• Cylinder Renormalization of Siegel Disks
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Complex bounds for renormalization of critical circle maps
• Existence of the Siegel disc renormalization fixed point
• Invariant manifolds

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