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2016

A PDE approach to a 2-dimensional matching problem

Ambrosio, Luigi, Stra, Federico, Trevisan, Dario

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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.
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A PDE approach to a 2-dimensional matching problem · Around

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H.P. McKean, I.M. Singer
1967
Earlier work this paper cites.
K. Yosida
1980
Earlier work this paper cites.
M.G. Crandall, P.-L. Lions:
1983
Earlier work this paper cites.
E. Acerbi, N. Fusco
1984
Earlier work this paper cites.
M. Ajtai, J. Komlos, G. Tusnády
1984
Earlier work this paper cites.
P. W. Shor, J. E. Yukich
1991
Earlier work this paper cites.
M. Talagrand
1992
Earlier work this paper cites.
R.M. Brown
1993
Earlier work this paper cites.
M. Talagrand:
1994
Earlier work this paper cites.
V. Dobrić, J.E. Yukich
1995
Earlier work this paper cites.
M. Bardi, I. Capuzzo Dolcetta
1997
Earlier work this paper cites.

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