Abstract
Let f be a dominating meromorphic self-map of a compact Kähler 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.
Résumé
Soit f une application méromorphe dominante d’une variété Kählérienne compacte. Nous donnons une inégalité pour les exposants de Lyapounov d’une classe de mesures ergodiques de f en utilisant l’entropie métrique et les degrés dynamiques de f. Nous en déduisons l’hyperbolicité de certaines mesures.
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Mathematics Subject Classification (2000)
37Fxx, 32H50, 58F15
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de Thélin, H. Sur les exposants de Lyapounov des applications méromorphes. Invent. math. 172, 89–116 (2008). https://doi.org/10.1007/s00222-007-0095-5
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DOI: https://doi.org/10.1007/s00222-007-0095-5