Equidistribution speed for endomorphisms of projective spaces

Details Equidistribution speed for endomorphisms of projective spaces Equidistribution speed for endomorphisms of projective spaces

2009-01-20

arxiv.org/abs/0901.3000v1

Mathematics

Dynamical Systems

14 pages

Scientific paper

Let f be a non-invertible holomorphic endomorphism of the complex projective
space P^k, f^n its iterate of order n and \mu the equilibrium measure of f. We
estimate the speed of convergence in the following known result. If a is a
Zariski generic point in P^k, the probability measures, equidistributed on the
preimages of a under f^n, converge to \mu as n goes to infinity.

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