## An upper bound for the topological entropy of a rational mapping. (Une borne supérieure pour l’entropie topologique d’une application rationnelle.)(French)Zbl 1084.54013

Summary: Let $$X$$ be a complex projective manifold and let $$f$$ be a dominating rational map from $$X$$ onto $$X$$. We show that the topological entropy $$h(f)$$ of $$f$$ is bounded from above by the logarithm of its maximal dynamical degree.

### MSC:

 54H20 Topological dynamics (MSC2010) 37B40 Topological entropy
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