Chains of holomorphic contractions and Fatou-Bieberbach domains

DOI10.1007/s10231-015-0494-yzbMath1343.32011OpenAlexW2196650725MaRDI QIDQ292663

Guitta Sabiini

Publication date: 8 June 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-015-0494-y

zbMATH Keywords

bassin of attractionFatou-Bieberbach domainsiteration of holomorphic maps

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (1)

Picard–Borel ideals in Fréchet algebras and Michael's problem

Cites Work

• Perturbed basins of attraction
• Normalization of bundle holomorphic contractions and applications to dynamics
• Fatou-Bieberbach domains with \(C^ \infty\)-smooth boundary
• Stable manifolds of holomorphic diffeomorphisms
• Rescaling methods in complex analysis
• Holomorphic Maps from C n to C n
• STABLE MANIFOLDS OF HOLOMORPHIC HYPERBOLIC MAPS
• FATOU–BIEBERBACH DOMAINS

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