Dear Colleagues,
We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: *The Random Euclidean Matching for Gaussian densities* by *Francesca Pieroni *(*Sapienza*)
The seminar will take place on TUE, 04.03.2025 at 14:00 CET in Aula Tricerri, Dipartimento di Matematica e Informatica "Ulisse Dini", Università degli Studi di Firenze, and streamed online at this link https://meet.google.com/njf-mxow-mjj.
The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass --------------------------------------------
*Abstract: The Random Euclidean Matching is the problem of finding the optimal matching between two sets of independent random variables X1,…,Xn and Y1,…,Yn distributed in R^d with a probability density ρ. The main problem is first to minimize the quantity Cn(π):=\sum_{i=1}^n|Xi-Yπi|^p with respect to the permutations π of the indexes {1,…,n}, and then to study the expectation of the minimum of Cn(π) with respect to the probability distribution of the variables, for fixed p and d and for large n.The object of this talk is the case of Gaussian random variables, that is, when the variables are independent and distributed in R^d with the Gaussian probability density.*