5 papers · 1 filter
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…
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…
Green currents for holmorphic automorphisms of compact Kahler manifolds
Tien-Cuong Dinh, Nessim Sibony
Let f be a holomorphic automorphism of a compact Kahler manifold (X,ω) of dimension k>1. We study the convex cones of positive closed (p,p)-currents T_p, which satisfy a functional…