Polynomial diffeomorphisms of C 2. VIII: quasi-expansion

DOI10.1353/ajm.2002.0008zbMath1004.37028arXivmath/0103037OpenAlexW2010487867MaRDI QIDQ4534351

John Smillie, Eric Bedford

Publication date: 5 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/0103037

zbMATH Keywords

entropyhyperbolicityholomorphic mappingssemi-hyperbolicityquasi-hyperbolicitypolynomial diffeomorphismsbounded area distortion theoremquasi-expansion

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (14)

Complex Hénon maps and discrete groups ⋮ Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects ⋮ Topological and geometric hyperbolicity criteria for polynomial automorphisms of ⋮ Julia sets of complex Hénon maps ⋮ Automorphisms of open surfaces with irreducible boundary ⋮ A structure theorem for semi-parabolic Hénon maps ⋮ Hyperbolic invariant sets of the real generalized Hénon maps ⋮ A symbolic characterization of the horseshoe locus in the Hénon family ⋮ The boundary of hyperbolicity for Hénon-like families ⋮ Characterization of Dynamics of a Class of Polynomial Automorphisms in ℂn ⋮ Tessellation and Lyubich–Minsky laminations associated with quadratic maps, II: Topological structures of 3-laminations ⋮ No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy ⋮ Application of Zalcman's lemma to complete dynamics ⋮ Bers and Hénon, Painlevé and Schrödinger

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