Un domaine de Fatou-Bieberbach \a plusieurs feuillets

Details Un domaine de Fatou-Bieberbach \a plusieurs feuillets Un domaine de Fatou-Bieberbach \a plusieurs feuillets

2002-07-25

arxiv.org/abs/math/0207241v4

Rend.Sem.Mat.Univ.Padova Vol. 112 (2004), 131-139

Mathematics

Complex Variables

LaTex, French, completely revised version

Scientific paper

We propose, within the context of the dynamics of a holomorphic germ in CI^N,
a definition of 'attracting basin' of a fixed point. We prove that the inverse
germ of an endomorphism of CI^N with a repulsive fixed point in 0, satisfying a
supplementary technical hypothesis, admits an attracting basin which could be
described as a Fatou-Bieberbach domain 'with many leaves'.

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