On Fatou-Julia decompositions

DOI10.5802/afst.1369zbMath1369.37060OpenAlexW2331932074WikidataQ120759606 ScholiaQ120759606MaRDI QIDQ355215

Taro Asuke

Publication date: 24 July 2013

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/afst.1369

zbMATH Keywords

holomorphic foliationFatou-Julia decompositionholomorphic pseudosemigroupmapping iteration

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items

On Fatou and Julia sets of foliations

Cites Work

• Singularities of holomorphic foliations
• A sufficient condition for the transitivity of pseudo-semigroups: Application to system theory
• A Fatou-Julia decomposition of transversally holomorphic foliations
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Fatou sets in complex dynamics on projective spaces
• Dimensions of Julia sets of expanding rational semigroups
• Regular and limit sets for holomorphic correspondences
• Flots transversalement affines et tissus feuilletés
• The Dynamics of Semigroups of Rational Functions I
• On semigroups in analysis and geometry
• Dynamics in One Complex Variable. (AM-160)
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