Polynomial diffeomorphisms of C2: VII. Hyperbolicity and external rays

DOI10.1016/S0012-9593(99)80020-2zbMath0952.37008WikidataQ127548780 ScholiaQ127548780MaRDI QIDQ4719484

Eric Bedford, John Smillie

Publication date: 15 February 2000

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1999_4_32_4_455_0

zbMATH Keywords

dynamicsJulia setsolenoidexternal rayspolynomial diffeomorphismspinch points

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items

Complex Hénon maps and discrete groups, Invariant escaping Fatou components with two rank-one limit functions for automorphisms of, Dynamics of polynomial diffeomorphisms of \(\mathbb {C}^2\): combinatorial and topological aspects, A degenerate Newton's map in two complex variables: linking with currents, Hyperbolic invariant sets of the real generalized Hénon maps, A symbolic characterization of the horseshoe locus in the Hénon family, Semi-parabolic tools for hyperbolic Hénon maps and continuity of Julia sets in $\mathbb {C}^{2}$, Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). III: Iterated monodromy groups, Characterization of Dynamics of a Class of Polynomial Automorphisms in ℂn, Semi-parabolic bifurcations in complex dimension two, Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). I: A non-planar map, Mandelbrot-like sets in dynamical systems with no critical points, Hénon mappings with biholomorphic escaping sets, Fatou Coordinates for Parabolic Dynamics, Exceptional Dynamically Invariant Sections, Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). II: Hubbard trees, Chaotic Polynomial Maps, Polynomial diffeomorphisms of \({\mathbb{C}}^2\). V: Critical points and Lyapunov exponents, A compactification of Hénon mappings in \({\mathbb{C}}^2\) as dynamical systems, Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\)

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