Abstract
À chaque polynôme complexe générique p(z) est associé un arbre binaire étiqueté (appelé dans cet aticle, “arbre de lemniscate”) qui code le type topologique du graphe de |p(z)|. La structure de ramification de l’arbre de lemniscate est déterminée par la configuration (c’est-à-dire la disposition dans le plan) des composants singuliers de ces ensembles de niveaux |p(z)|=t passant par un point critique.
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