English

Dimension de la mesure d'\'{e}quilibre d'applications m\'{e}romorphes

Dynamical Systems 2007-05-23 v2

Abstract

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

Cite

@article{arxiv.math/0403501,
  title  = {Dimension de la mesure d'\'{e}quilibre d'applications m\'{e}romorphes},
  author = {Tien-Cuong Dinh and Christophe Dupont},
  journal= {arXiv preprint arXiv:math/0403501},
  year   = {2007}
}

Comments

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