Equidistribution speed for endomorphisms of projective spaces
The authors consider non-invertible holomorphic endomorphims \(f\) of complex projective spaces. For the probability measures which are equidistributed on the preimages of a Zariski generic point, they estimate the speed of convergence of those probability measures to the equilibrium measure under the iteration of \(f\). Compared with previous proofs of the theorem, the one presented in this paper is valid for a more general setting. It improves a geometrical method developed by other people and shows the existence of an analytic exceptional set.
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