Equidistribution of varieties for endomorphisms of projective spaces

Abstract

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.

arXiv comment11 pages, to appear in Vietnam J. Math., the volume in honor of Professor Ha Huy Khoai

References in corpus (3)

• Exponential estimates for plurisubharmonic functions and stochastic dynamics
• The Jacobian cocycle and equidistribution towards the Green current
• Equidistribution speed towards the Green current for endomorphisms of P^k