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SUMMARY:Jan Maas (IST Austria)
DTSTART:20210319T163000Z
DTEND:20210319T173000Z
DTSTAMP:20260423T005713Z
UID:PatC/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/30/">Ho
 mogenisation of discrete dynamical optimal transport</a>\nby Jan Maas (IST
  Austria) as part of Probability and the City Seminar\n\n\nAbstract\nMany 
 stochastic systems can be viewed as gradient flow ('steepest descent') in 
 the space of probability measures\, where the driving functional is a rela
 tive entropy and the relevant geometry is described by a dynamical optimal
  transport problem. In this talk we focus on these optimal transport probl
 ems and describe recent work on the limit passage from discrete to continu
 ous.\n\nSurprisingly\, it turns out that discrete transport metrics may fa
 il to converge to the expected limit\, even when the associated gradient f
 lows converge. We will illustrate this phenomenon in examples and present 
 a recent homogenisation result.\n\nThis talk is based on joint work with P
 eter Gladbach\, Eva Kopfer\, and Lorenzo Portinale.\n
LOCATION:https://researchseminars.org/talk/PatC/30/
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