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Seminario del 2013
Ottobre
08
2013
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prof. Mauro Piccioni, Università di Roma "Sapienza"
Dirichlet random walks
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In this talk we will discuss some results obtained by Gerard Le Caer (J Stat Phys 2010, 2011) concerning Dirichlet random walks, namely convex combinations of points on a sphere with weights having Dirichlet distribution. The proofs are based on a kind of Stieltjes transform, suited for distributions on a ball, which has special properties with regard to the Dirichlet distribution. A limiting regime is considered, from which the means of Dirichlet processes come out.
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