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We continue here the study of free extreme values begun in Ben Arous andVoiculescu (2006). We study the convergence of the free point processesassociated with free extreme values to a free Poisson random measure(Voiculescu (1998), Barndorff-Nielsen and Thorbjornsen (2005)). We relate thisconvergence to the free extremal laws introduced in Ben Arous and Voiculescu(2006) and give the limit laws for free order statistics.

Free point processes and free extreme values