Seminars & Colloquia Calendar

Download as iCal file


New estimates on the matching problem

Luigi Ambrosio, Scola Normale Superiore, Pisa,Italy

Location:  HILL 705
Date & time: Friday, 10 November 2017 at 2:00PM - 3:00PM

23rd D'Atri Memorial Lectures

Abstract:  The matching problem consists in finding the optimal coupling between a random distribution of N points in a d-dimensional domain and another (possibly random) distribution. There is a large literature on the asymptotic behaviour as N tends to infinity of the expectation of the minimum cost, and the results depend on the
dimension d and the choice of cost, in this random optimal transport problem. In a recent work, Caracciolo, Lucibello, Parisi and Sicuro proposed an ansatz for the expansion in N of the expectation.  I will illustrate how a combination of semi-group smoothing techniques and Dacorogna-Moser interpolation provide first rigorous results for this ansatz.

Joint work with Federico Stra and Dario Trevisan, ArXiv:1611.04960

This talk is part of the D'Atri Memorial Lectures. Light refreshments at 1:30pm in Room 703.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.