Value distribution for sequences of rational mappings and complex dynamics

Details Value distribution for sequences of rational mappings and complex dynamics Value distribution for sequences of rational mappings and complex dynamics

1996-04-29

arxiv.org/abs/math/9604204v1

Indiana Univ. Math. J. 46 (1997), 897-932

Mathematics

Complex Variables

Scientific paper

We obtain results on the asymptotic equidistribution of the pre-images of linear subspaces for sequences of rational mappings between projective spaces. As an application to complex dynamics, we consider the iterates $P_k$ of a rational mapping $P$ of $\PP^n$. We show, assuming a condition on the topological degree $\lambda$ of $P$, that there is a probability measure $\mu$ on $\PP^n$ such that the discrete measures $\lambda^{-k}P_k^*\delta_w$ converge to $\mu$ for all $w\in\PP^n$ outside a pluripolar set.

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