Dinh, Tien-Cuong; Sibony, Nessim 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 Ann. Math. (2) 161, No. 3, 1637-1644 (2005). 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. Cited in 2 ReviewsCited in 77 Documents MSC: 54H20 Topological dynamics (MSC2010) 37B40 Topological entropy Keywords:complex projective manifold; dominating rational map; dynamical degree PDFBibTeX XMLCite \textit{T.-C. Dinh} and \textit{N. Sibony}, Ann. Math. (2) 161, No. 3, 1637--1644 (2005; Zbl 1084.54013) Full Text: DOI Euclid