38 citations · 290 across the 76 of their papers we have counts for
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Quantitative hyperbolicity for complex manifolds via numerical invariants
Tien-Cuong Dinh, Duc-Bao Nguyen, Duc-Viet Vu
We introduce numerical invariants called hyperbolic indices, which measure the hyperbolicity of compact Kähler manifolds using directed positive closed currents. We prove that if a…
Siu's analyticity theorem for positive pluriharmonic currents
Tien-Cuong Dinh, Viet-Anh Nguyen, Duc-Bao Nguyen
Let be a positive -closed current of bidimension on a compact Kähler manifold . For every , let be the set of points of where the Lelong numb…
Monotonicity of dynamical degrees for H{é}non-like and polynomial-like maps
Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov
We prove that, for every invertible horizontal-like map (i.e., H{é}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value,…
Exponential mixing of all orders and CLT for automorphisms of compact K{ä}hler manifolds
Fabrizio Bianchi, Tien-Cuong Dinh
We consider the unique measure of maximal entropy of an automorphism of a compact K{ä}hler manifold with simple action on cohomology. We show that it is exponentially mixing of all…
Regularity of the equilibrium measure for meromorphic correspondences
Tien-Cuong Dinh, Hao Wu
Let be a meromorphic correspondence on a compact Kähler manifold of dimension . Assume that its topological degree is larger than the dynamical degree of order . We…
Equilibrium states of endomorphisms of II: spectral stability and limit theorems
Fabrizio Bianchi, Tien-Cuong Dinh
We establish the existence of a spectral gap for the transfer operator induced on by a generic holomorphic endomorphism and a suitable conti…