Equidistribution of varieties for endomorphisms of projective spaces
  Let f be a non-invertible holomorphic endomorphism of the complex projective space P^k and f^n its iterate of order n. Let V be an algebraic subvariety of P^k which is generic in the Zariski sense. We give here a survey on the asymptotic equidistribution of the sequence $f^{-n}(V)$ when n goes to infinity. 
Tien-Cuong Dinh and Nessim Sibony
math.DS math.CV