Free point processes and free extreme values

Details Free point processes and free extreme values Free point processes and free extreme values

2009-03-15

arxiv.org/abs/0903.2672v1

Probability Theory and Related Fields (2010), 147, 161-183

Mathematics

Probability

23 pages, to appear in Probability Theory and Related Fields

Scientific paper

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

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