Interior dynamics of Fatou sets

DOI10.1007/s10231-023-01344-9zbMath1528.37039arXiv2208.00546MaRDI QIDQ6046848

Mi Hu

Publication date: 6 October 2023

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

Full work available at URL: https://arxiv.org/abs/2208.00546

zbMATH Keywords

basin of attractionKobayashi metricBlaschke products

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Critical orbits for holomorphic dynamical systems (37F12)

Cites Work

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• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Complex dynamics
• Asymptotics of invariant metrics in the normal direction and a new characterisation of the unit disk
• The Carathéodory and Kobayashi Metrics and Applications in Complex Analysis
• Finite Blaschke Products and Their Connections
• Semihyperbolic entire functions
• Dynamics in One Complex Variable. (AM-160)

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