A Distortion Theorem for iterated inverse branches of holomorphic endomorphisms of Pk

DOI10.1112/JLMS.12163zbMath1422.37031arXiv1710.05590OpenAlexW2887916335WikidataQ129481755 ScholiaQ129481755MaRDI QIDQ3121007

François Berteloot, Christophe Dupont

Publication date: 19 March 2019

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05590

zbMATH Keywords

distortion theoremcomplex dynamicsholomorphic endomorphism

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Renormalization of holomorphic dynamical systems (37F25)

Related Items (3)

Higher bifurcations for polynomial skew products ⋮ Ramification current, post-critical normality and stability of holomorphic endomorphisms of $\mathbb P^k$ ⋮ Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties

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