38 citations · 101 across the 17 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…
Analytic multiplicative cocycles over holomorphic dynamical systems
Tien-Cuong Dinh
We prove some properties of analytic multiplicative and sub-multiplicative cocycles. The results allow to construct natural invariant analytic sets associated to complex dynamical…
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.…
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…