Tien-Cuong Dinh, Nessim Sibony
Published 2009-01-20Version 1
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.
Equidistribution of varieties for endomorphisms of projective spaces
Attracting Currents and Equilibrium Measures for Quasi-attractors of $\mathbb P^k$
Degeneration of endomorphisms of the complex projective space in the hybrid space
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