Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). II: Hubbard trees

DOI10.1016/J.AIM.2008.09.015zbMath1168.37012OpenAlexW2017151141MaRDI QIDQ1002233

Yutaka Ishii

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.aim.2008.09.015

zbMATH Keywords

Julia setshyperbolicityHénon mapsHubbard treesbranched manifoldshomotopy shadowing

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving maps of trees and graphs (37E25) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects ⋮ On parameter loci of the Hénon family ⋮ Corrigendum to ``Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). II: Hubbard trees ⋮ Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). III: Iterated monodromy groups ⋮ Characterization of Dynamics of a Class of Polynomial Automorphisms in ℂn ⋮ Extensions of amenable groups by recurrent groupoids

Cites Work

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• Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains
• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). III: Ergodicity, exponents and entropy of the equilibrium measure
• Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). I: A non-planar map
• Dynamical properties of plane polynomial automorphisms
• Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays
• An Introduction to Symbolic Dynamics and Coding
• Expanding attractors

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