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Distribution des préimages et des points périodiques d’une correspondance polynomiale

Tien-Cuong Dinh — 2005

Bulletin de la Société Mathématique de France

Nous construisons pour toute correspondance polynomiale F d’exposant de Lojasiewicz > 1 une mesure d’équilibre μ . Nous montrons que μ est approximable par les préimages d’un point générique et que les points périodiques répulsifs sont équidistribués sur le support de μ . En utilisant ces résultats, nous donnons une caractérisation des ensembles d’unicité pour les polynômes.

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