Sur les exposants de Lyapounov des applications méromorphes
| Autor: | Henry de Thelin |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
37Fxx
32H50 58F15 Pure mathematics Mathematics::Dynamical Systems Mathematics - Complex Variables Mathematics::Complex Variables General Mathematics Dynamical Systems (math.DS) Kähler manifold FOS: Mathematics Ergodic theory Entropy (information theory) Mathematics::Differential Geometry Complex Variables (math.CV) Mathematics - Dynamical Systems Mathematics::Symplectic Geometry Meromorphic function Mathematics |
| Zdroj: | Inventiones mathematicae. 172:89-116 |
| ISSN: | 1432-1297 0020-9910 |
| DOI: | 10.1007/s00222-007-0095-5 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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