7 citations · 14 across the 6 of their papers we have counts for
6 papers
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…
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…
Dynamics of regular birational maps in P^k
Tien-Cuong Dinh, Nessim Sibony
We develop the study of some spaces of currents of bidegree (p,p). As an application we construct the equilibrium measure for a large class of birational maps of P^k as intersectio…
Harmonic Currents of Finite Energy and Laminations
John-Erik Fornaess, Nessim Sibony
We introduce, on a complex Kahler manifold (M,ω), a notion of energy for harmonic currents of bidegree (1,1). This allows us to define for positiv…