Dear all,

We announce that the MAP seminars will resume this week and will take place on Thursday mornings.
Here is the announcement of the next seminar.

⟶ Speaker: Francesca Pieroni (Sapienza Università di Roma)

⟶ Thursday 7th November, at 11:30 in Aula Seminari

⟶ Title: Random Euclidean Matching for Gaussian Densities

⟶ Abstract: The Random Euclidean Matching problem is the problem of finding the best matching between two sets of N independent random variables $\{X_i,Y_i\}$ , i=1,…,N in $\mathbb{R}^d$ . That is, it is defined a cost function $C(N)=\min \sum|X_i-Y_{\pi i}|^p$ , where the minimum is taken among all the possible permutations $\pi$ of $\{1,...,N\}$ , and we are interested in the behavior of the expected value of the cost function for large N.

The aim of the talk is to introduce the problem and then look at the cases of uniformly distributed variables, non uniformly distributed variables and variables with exponentially decaying densities (for example Gaussian distribution) in $\mathbb{R}^d$ , with $d\geq 2$ .

We remind you that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.

See you soon,

The organizers:
Michele Caselli
Francesco Malizia

Jeremy Mirmina

Filippo Paiano

Leonardo Roveri