Equidistribution speed for endomorphisms of projective spaces
classification
🧮 math.DS
math.CV
keywords
projectivespeedcomplexconvergeconvergenceendomorphismendomorphismsequidistributed
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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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