Equidistribution speed for endomorphisms of projective spaces
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Let f be a non-invertible holomorphic endomorphism of $${\mathbb{P}^{k}}$$, fn its iterate of order n and μ the equilibrium measure of f. We estimate the speed of convergence in the following known result. If a is a Zariski generic point in $${\mathbb{P}^{k}}$$, the probability measures, equidistributed on the preimages of a under fn, converge to μ as n goes to infinity.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
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