Sur les exposants de Lyapounov des applications meromorphes
Dynamical Systems
2009-11-11 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0609628,
title = {Sur les exposants de Lyapounov des applications meromorphes},
author = {Henry de Thelin},
journal= {arXiv preprint arXiv:math/0609628},
year = {2009}
}
Comments
27 pages, paper in french, final version: to appear in Inventiones Math