Semigroup-fication of univalent self-maps of the unit disc

DOI10.5802/AIF.3517zbMath1521.37048arXiv2002.08252OpenAlexW3006725984MaRDI QIDQ6040264

Filippo Bracci, Oliver Roth

Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08252

zbMATH Keywords

univalent functionsiteration theoryasymptotic behavior of orbitssemigroups of holomorphics maps

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Cites Work

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• On the Iteration of Analytic Functions in a Halfplane, I
• Angular derivatives at boundary fixed points for self-maps of the disk
• Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
• Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc

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