Pseudo-random holomorphic endomorphisms between projective spaces. I

DOI10.1007/s00229-012-0603-9zbMath1279.32023OpenAlexW2038622203MaRDI QIDQ382240

Henry de Thélin

Publication date: 18 November 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0603-9

zbMATH Keywords

pseudo-random Green currentpseudo-random Green measurepseudo-random holomorphic endomorphisms

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Currents (32U40)

Related Items (3)

Almost sure invariance principle for non-autonomous holomorphic dynamics in ℙ^{𝕜} ⋮ Pseudo-random endomorphisms in projective spaces. II ⋮ Dynamical properties of families of holomorphic mappings

Cites Work

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• Distribution of the values of meromorphic transformations and applications
• Random iterations of rational functions
• A Relativised Variational Principle for Continuous Transformations
• Random iteration in ${\mathbf P}^{\bm{k}}$
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)

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