38 citations · 110 across the 29 of their papers we have counts for
Showing 2008 · math.DSShow all
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math.DS2008★ 20 cited
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…
math.DS2008★ 1 cited
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…
math.DS2008★ 22 cited
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.…