A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)

Christophe Dupont (IRMAR); Francois Berteloot (LEP)

arxiv: 1710.05590 · v1 · pith:K6EOTEW3new · submitted 2017-10-16 · 🧮 math.DS · math.CV

A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)

Francois Berteloot (LEP) , Christophe Dupont (IRMAR) This is my paper

classification 🧮 math.DS math.CV

keywords holomorphicbranchesdistortioninversetheoremapplicationsdynamicsendomorphism

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We linearize the inverse branches of the iterates of holomorphic endomorphisms of CP(k) and thus overcome the lack of Koebe distortion theorem in this setting when k $\ge$ 2. We review several applications of this result in holomorphic dynamics.

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A distortion theorem for the iterated inverse branches of a holomorphic endomorphism of CP(k)

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