Sur les exposants de Lyapounov des applications meromorphes
arXiv:math/0609628 · doi:10.1007/s00222-007-0095-5
Abstract
Let f be a dominating meromorphic self-map of a compact Kahler manifold. We give an inequality for the Lyapounov exponents of some ergodic measures of f using the metric entropy and the dynamical degrees of f. We deduce the hyperbolicity of some measures.
27 pages, paper in french, final version: to appear in Inventiones Math