Dimension de la mesure d'équilibre d'applications méromorphes

Details Dimension de la mesure d'équilibre d'applications méromorphes Dimension de la mesure d'équilibre d'applications méromorphes

2004-03-29

arxiv.org/abs/math/0403501v2

Mathematics

Dynamical Systems

in french, \`{a} paraitre dans J. Geom. Anal

Scientific paper

Let $f$ be a dominating meromorphic self-map of a compact K\"{a}hler
manifold. Assume that the topological degree of $f$ is larger than the other
dynamical degrees. We give estimates of the dimension of the equilibrium
measure of $f$, which involve the Lyapounov exponents.

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