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Universität Augsburg
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Universität Augsburg
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Professor Dr. Luigi Ambrosio
Scuola Normale Superiore, Pisa
spricht am
Donnerstag, 11. Mai 2017
um
15:45 Uhr
im
TUM, Boltzmann-3, Garching, Raum 03.08.011, Etage 3
über das Thema:
| 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 semigroup smoothing techniques and Dacorogna-Moser interpolation provide first rigorous results for this ansatz. Joint work with Federico Stra and Dario Trevisan, ArXiv:1611.04960 |
| Hierzu ergeht herzliche Einladung. |