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SUMMARY:The optimal matching problem - Martin Huesmann
DTSTART:20200218T140000Z
DTEND:20200218T150000Z
UID:TALK138097@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The optimal matching problem is about the rate of convergence 
 \nin Wasserstein distance of the empirical measure of iid uniform points \
 nto the Lebesgue measure. We will start by reviewing the macroscopic \nbeh
 aviour of the matching problem and will then report on recent results \non
  the mesoscopic behaviour in the thermodynamic regime. These results \nrel
 y on a quantitative large-scale linearization of the Monge-Ampere \nequati
 on through the Poisson equation. This is based on joint work with \nMichae
 l Goldman and Felix Otto.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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