38 citations · 113 across the 30 of their papers we have counts for
6 papers · 1 filter
Equidistribution towards the Green current for holomorphic maps
Tien-Cuong Dinh, Nessim Sibony
Let f be a non-invertible holomorphic endomorphism of a projective space and f^n its iterate of order n. We prove that the pull-back by f^n of a generic (in the Zariski sense) hype…
Hölder continuous solutions to Monge-Ampère equations
Vincent Guedj, Slawomir Kolodziej, Ahmed Zeriahi
We study the regularity of solutions to complex Monge-Ampère equations , on bounded strongly pseudoconvex domains $ Ω\subset \C^n$. We show, under a mild technical…
Pull-back of currents by holomorphic maps
Tien-Cuong Dinh, Nessim Sibony
We define the pull-back operator, associated to a meromorphic transform, on several types of currents. We also give a simple proof to a version of a classical theorem on the extens…
Upper bound for topological entropy of a meromorphic correspondence
Tien-Cuong Dinh, Nessim Sibony
Let f be a meromorphic correspondence on a compact Kahler manifold. We show that the topological entropy of f is bounded from above by the logarithm of its maximal dynamical degree…
On Thermodynamics of Rational Maps on the Riemann sphere
Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony
We show that there is a spectral gap for the transfer operator associated to a rational map f on the Riemann sphere. Using this and the method of pertubed operators we establish th…
Attracting current and equilibrium measure for attractors on P^k
Tien-Cuong Dinh
Let f be a holomorphic endomorphism of P^k having an attracting set A. We construct an attracting current and an equilibrium measure associated to A. The attracting current is weak…