Dimension de la mesure d'équilibre d'applications méromorphes

Tien-Cuong Dinh (1) , Christophe Dupont (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Mots clés: dimension theory; equilibrium measure; Lyapounov exponent.; Lyapounov exponent

Domaines: Systèmes dynamiques [math.DS]

Tien-Cuong Dinh, Christophe Dupont. Dimension de la mesure d'équilibre d'applications méromorphes. 2005. ⟨hal-00001372v2⟩