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Dimension de la mesure d'équilibre d'applications méromorphes

2004/03/29 by Tien‐Cuong Dinh, Tien-Cuong Dinh, Christophe Dupont +2
Agricultural and Biological Sciences · Mathematics · Social Sciences · #32H50 #37C45 #37F10 #Agriculture and Rural Development Research #Dynamical Systems (math.DS) #FOS: Mathematics #Historical and Environmental Studies #math.DS #msc:32H50 #msc:37C45 #msc:37F10

paper · pdf · doi:10.48550/arxiv.math/0403501

in french, à paraitre dans J. Geom. Anal

openalex publication_date 2004/03/29 · arxiv created 2005/01/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f be a dominating meromorphic self-map of a compact Kähler manifold. Assume that the topological degree of f is larger than the other dynamical degrees. We give estimates of the dimension of the equilibrium measure of f, which involve the Lyapounov exponents.

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