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An upper bound for the topological entropy of a rational mapping. (Une borne sup√©rieure 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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