Un domaine de Fatou-Bieberbach plusieurs feuillets
Abstract
We propose, within the context of the dynamics of a holomorphic germ in CIN, a definition of 'attracting basin' of a fixed point. We prove that the inverse germ of an endomorphism of CIN 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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