English

Une borne superieure pour l'entropie topologique d'une application rationnelle

Dynamical Systems 2007-05-23 v2

Abstract

Let X be a complex projective manifold and f 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.

Keywords

Cite

@article{arxiv.math/0303271,
  title  = {Une borne superieure pour l'entropie topologique d'une application rationnelle},
  author = {T. C. Dinh and N. Sibony},
  journal= {arXiv preprint arXiv:math/0303271},
  year   = {2007}
}

Comments

9 pages, to appear in Ann. of Math