T. Dinh

activity

19982003

most citedDistribution des preimages et des points periodiques d'une correspondance polynomiale

5 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing math.DSShow all

5 papers · 1 filter

math.DS2003★ 5 cited

Distribution des preimages et des points periodiques d'une correspondance polynomiale

Tien-Cuong Dinh

We construct an equilibrium measure $μ$ for a polynomial correspondence F of Lojasiewicz exponent l>1. We then show that $μ$ can be built as the distribution of preimages of a gene…

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…

math.DS2002

Dynamique des applications d'allure polynomiale

T. C. Dinh, N. Sibony

We study the dynamics of polynomial-like mappings in several variables. A special case of our results is the following theorem. Let f be a proper holomorphic map from an open set U…