N. Sibony

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math.DS2003

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

T. C. Dinh, N. Sibony

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 m…

math.DS2002

Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte

T. C. Dinh, N. Sibony

Let V be a compact Kahler manifold. Let G' be a commutative subgroup of Aut(V) and U the set of elements of zero entropy of G'. Then U is a group and G' is isomorphic to the direct…

math.DS2002

Dynamique des applications polynomiales semi-regulieres

T. C. Dinh, N. Sibony

For any proper polynomial map $f : C^{k} ⟶ C^{k}$ define the function αas $α (z) := n \to \infty lim sup \frac{lo g ^{+} lo g ^{+} ∣ f ^{n} ( z ) ∣}{n} w h er e lo g^{+} := max (lo g, 0) .$ Let f=(P…