Julia sets of complex Hénon maps

DOI10.1142/S0129167X18500477zbMath1454.32012arXiv1706.00220OpenAlexW2767294564WikidataQ121850370 ScholiaQ121850370MaRDI QIDQ4570898

Lorenzo Guerini, Han Peters

Publication date: 9 July 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00220

zbMATH Keywords

Julia setHénon mapquasi-hyperbolicity

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (2)

Topological and geometric hyperbolicity criteria for polynomial automorphisms of ⋮ Structure of partially hyperbolic Hénon maps

Cites Work

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• Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents
• The Julia set of Hénon maps
• Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\)
• Classification of invariant Fatou components for dissipative Hénon maps
• Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity
• Dynamical properties of plane polynomial automorphisms
• Polynomial Diffeomorphisms of C 2 . II: Stable Manifolds and Recurrence
• Polynomial diffeomorphisms of C 2. VIII: quasi-expansion

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