Sur les exposants de Lyapounov des applications meromorphes

Details Sur les exposants de Lyapounov des applications meromorphes Sur les exposants de Lyapounov des applications meromorphes

2006-09-22

arxiv.org/abs/math/0609628v2

Mathematics

Dynamical Systems

27 pages, paper in french, final version: to appear in Inventiones Math

Scientific paper

10.1007/s00222-007-0095-5

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.

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