Polynomial skew-products with wandering Fatou-disks

DOI10.1007/s00209-015-1600-yzbMath1339.37039OpenAlexW2237579747WikidataQ59478619 ScholiaQ59478619MaRDI QIDQ284803

Han Peters, Liz Raquel Vivas

Publication date: 18 May 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-015-1600-y

zbMATH Keywords

skew-productwandering Fatou-disk

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (9)

A two-dimensional polynomial mapping with a wandering Fatou component ⋮ 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 ⋮ Fatou components of attracting 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

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