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.

The organizers,
A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco
https://sites.google.com/unipi.it/spass
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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.