38 citations · 102 across the 15 of their papers we have counts for
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Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
Tien-Cuong Dinh, Nessim Sibony
The emphasis of this course is on pluripotential methods in complex dynamics in higher dimension. They are based on the compactness properties of plurisubharmonic functions and on…
Super-potentials for currents on compact Kaehler manifolds and dynamics of automorphisms
Tien-Cuong Dinh, Nessim Sibony
We introduce a notion of super-potential (canonical function) associated to positive closed (p,p)-currents on compact Kaehler manifolds and we develop a calculus on such currents.…
Riemann Surface Laminations with Singularities
John Erik Fornaess, Nessim Sibony
In these introductory notes we give the basics of the theory of holomorphic foliations and laminations. The emphasis is on the theory of harmonic currents and unique ergodicity for…
Exponential estimates for plurisubharmonic functions and stochastic dynamics
Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony
We prove exponential estimates for plurisubharmonic functions with respect to Monge-Ampere measures with Holder continuous potential. As an application, we obtain several stochasti…