Fatou components of attracting skew-products

DOI10.1007/s12220-017-9811-6zbMath1397.32003arXiv1508.06605OpenAlexW2283518732WikidataQ90815148 ScholiaQ90815148MaRDI QIDQ1742931

Han Peters, Iris Marjan Smit

Publication date: 12 April 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06605

zbMATH Keywords

wandering Fatou componentssub-hyperbolic skew-products

Mathematics Subject Classification ID

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 (7)

Polynomial skew-products in dimension 2: bulging and wandering Fatou components ⋮ Wandering domains arising from Lavaurs maps with Siegel disks ⋮ Geometric methods in holomorphic dynamics ⋮ A construction of Böttcher coordinates for holomorphic skew products ⋮ Parametrization of unstable manifolds and Fatou disks for parabolic skew-products ⋮ Fatou components of elliptic polynomial skew products ⋮ Non-wandering Fatou components for strongly attracting polynomial skew products

Cites Work

• Polynomial skew-products with wandering Fatou-disks
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Dynamics of polynomial skew products on \(\mathbb{C}^2\)
• Hausdorff dimension and mean porosity
• A two-dimensional polynomial mapping with a wandering Fatou component
• Julia and John
• Ergodic Theory
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