7 citations · 18 across the 11 of their papers we have counts for
15 papers
The mixed Hodge-Riemann bilinear relations for compact Kahler manifolds
Tien-Cuong Dinh, Viet-Anh Nguyen
We prove the Hodge-Riemann bilinear relations, the hard Lefschetz theorem and the Lefschetz decomposition for compact Kahler manifolds in the mixed situation.
Decay of correlations and central limit theorem for meromorphic maps
Tien-Cuong Dinh, Nessim Sibony
Let f be a dominating meromorphic self-map of large topological degree on a compact Kaehler manifold. We give a new construction of the equilibrium measure of f and prove that it i…
Decay of correlations for Henon maps
Tien-Cuong Dinh
We show, for a class of automorphisms of C^k, that their equilibrium measures are exponentially mixing. In particular, this holds for (generalized) Henon maps.
Geometry of currents, intersection theory and dynamics of horizontal-like maps
Tien-Cuong Dinh, Nessim Sibony
We introduce a geometry on the cone of positive closed currents of bidegree (p,p) and apply it to define the intersection of such currents. We also construct and study the Green cu…
On the dynamics near infinity of some polynomial mappings in
Tien-Cuong Dinh, Romain Dujardin, Nessim Sibony
We construct the Green current for a random iteration of "horizontal-like" mappings in two complex dimensions. This is applied to the study of a polynomial map $f:\mathbb{C}^2\to\m…
Regularization of currents and entropy
Tien-Cuong Dinh, Nessim Sibony
Let T be a positive closed (p,p)-current of mass 1 on a compact Kahler manifold X. Then, there exist a constant c, independent of T, and smooth positive closed (p,p)-currents Tn an…