Value Distribution for Sequences of Rational Mappings and
Complex Dynamics
A. Russakovskii and B. Shiffman
Indiana University
Mathematics Journal 46 (1997), 897-932.
Abstract.
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 CPn.
We show, assuming a condition on the topological degree
d of P , that there is a probability measure
m on CPn
and a pluripolar set E such that
d - kP k*u converges
to m for all probability measures
u on CPn \E .
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