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SUMMARY:On the integrability of p-Wasserstein barycenters
DTSTART:20260422T083000Z
DTEND:20260422T103000Z
DTSTAMP:20260502T105200Z
UID:indico-event-16436@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lorenzo Portinale (Milano)\n\nWe discuss the L^q int
 egrability of the p-Wasserstein barycenters between N probability measures
 . It is well-known that for p=2 (as well as for N=2)\, as soon as one marg
 inal belongs to L^q\, the associated 2-barycenters also belongs to L^q. We
  consider the same problem when p is different from two\, and show that in
  general integrability fails (for N>2)\, even when assuming one marginal b
 eing bounded. We also show that integrability is achieved\, provided that 
 a suitable geometric conditions on the support of the marginals holds. Var
 ious examples and open problems will be discussed. This is a joint project
  with C. Brizzi.\n\nhttps://indico.math.cnrs.fr/event/16436/
LOCATION:112 (Braconnier)
URL:https://indico.math.cnrs.fr/event/16436/
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