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A PDE approach to a 2-dimensional matching problem


We prove asymptotic results for 2-dimensional random matching problems. In particular, we obtain the leading term in the asymptotic expansion of the expected quadratic transportation cost for empirical measures of two samples of independent uniform random variables in the square. Our technique is based on a rigorous formulation of the challenging PDE ansatz by S. Caracciolo et al. (Phys. Rev. E, 90, 012118, 2014) that linearizes the Monge-Ampère equation.
http://cvgmt.sns.it/seminar/556/
When
Wed Nov 23, 2016 4pm – 5pm Coordinated Universal Time
Where
Sala Seminari Dipartimento di Matematica di Pisa (map)