Tien Cuong Dinh; Sibony, Nessim Equidistribution of varieties for endomorphisms of projective spaces. (English) Zbl 1252.32025 Vietnam J. Math. 39, No. 3, 369-379 (2011). Consider a non-invertible holomorphic endomorphism \(f\) of the \(k\)-dimensional complex projective space \(\mathbb{P}^k\) of degree \(d\geq2\) and an algebraic subvariety \(V\) of \(\mathbb{P}^k\) generic in the Zariski sense. The authors survey some results on the asymptotic equidistribution of the sequence \(f^{-n}(V)\) when \(n\) tends to infinity. Reviewer: Lorena López Hernanz (Belo Horizonte) MSC: 32H50 Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables 32A10 Holomorphic functions of several complex variables 32H30 Value distribution theory in higher dimensions Keywords:equilibrium measure; Green currents; exceptional sets; equidistribution; speed of convergence PDFBibTeX XMLCite \textit{Tien Cuong Dinh} and \textit{N. Sibony}, Vietnam J. Math. 39, No. 3, 369--379 (2011; Zbl 1252.32025) Full Text: arXiv