Dimension of Julia sets of polynomial automorphisms of \(\mathbf C^ 2\).

DOI10.1307/MMJ/1030132596zbMath1053.37025OpenAlexW2092706818WikidataQ120884988 ScholiaQ120884988MaRDI QIDQ5954550

Christian Wolf

Publication date: 4 February 2002

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1030132596

zbMATH Keywords

Julia setsHausdorff dimensionFatou-Bieberbach domainpolynomial automorphism of Hénon type

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (10)

Examples of non-autonomous basins of attraction-II ⋮ Adaptive trains for attracting sequences of holomorphic automorphisms ⋮ On measures of maximal and full dimension for polynomial automorphisms of ℂ² ⋮ A rigidity theorem for Hénon maps ⋮ Filtrations, hyperbolicity, and dimension for polynomial automorphisms of \(\mathbb C^n\) ⋮ Variation of topological pressure and dimension: from polynomials to complex Hénon maps ⋮ Generalized physical and SRB measures for hyperbolic diffeomorphisms ⋮ Non-autonomous basins of attraction and their boundaries ⋮ Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure ⋮ Analyticity of dimensions for hyperbolic surface diffeomorphisms

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