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

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.