Buongiorno,
Martedi' 28 Novembre alle ore 14.00 ci sara' il seguente seminario in Aula di Consiglio (Dipartimento di Matematica, Universita' La Sapienza) :
*Speaker: *Lorenzo Dello Schiavo (Institut für Angewandte Mathematik — Universität Bonn)
*Title: *Two characterizations of Dirichlet—Ferguson measures
*Abstract:* We consider the Dirichlet—Ferguson (DF) measure, a random probability on a locally compact Polish space X introduced by Ferguson in [1]. The measure has ever since found many applications, widely ranging from Bayesian non-parametrics to population genetics and stochastic dynamics of infinite particle systems. Firstly, we compute the characteristic functional of DF measures (addressing, if time permits, connections of these measures with Lie algebra theory and Pólya Enumeration Theory). Secondly, we prove a characterization of DF measures via a Mecke-type integral identity. Profiting of connections between DF measures and Poisson measures on configuration spaces, we argue how DF measures may be regarded as ‘canonical' measures on the space P(X) of Borel probability measures on X. Partly based on joint work with E. W. Lytvynov, University of Swansea, Wales, UK. [1] Ferguson, T. S., Ann. Stat. 1(2), pp. 209-230, 1973
Cordialmente, Alessandra