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PRODID:-//Memento EPFL//
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SUMMARY:Stochastic PDEs in terms of particle densities part.1
DTSTART:20120427T101500
DTEND:20120427T120000
DTSTAMP:20260924T190049Z
UID:07fb26e8ff164fd98623021f833aecc6320a554c1106e7375ba48cf0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Carl Mueller\nProbabilists have known for a long time that the
  solution of the heat equation can be viewed as the particle density of an
  infinite system of independent Brownian motions. If the particles undergo
  critical branching\, we obtain the well known super-Brownian motion. This
  process is measure-valued\, and it satisfies a stochastic partial differe
 ntial equation (SPDE) in one dimension. In higher dimensions\, it also sat
 isfies an SPDE\, but in the generalized sense. This process was one of the
  first examples of an SPDE related to a system of particles.\nIt turns out
  to be possible to view many SPDE in terms of particle densities. This vie
 wpoint is not only suggestive\, but has a rigorous formulation. In general
 \, the particles will no longer be independent. But even so\, we often hav
 e enough information to prove interesting results. Such results include bl
 ow-up\, traveling waves\, uniqueness and nonuniqueness\, and even recent w
 ork on the KPZ equation.\nIn this mini-course\, I will give the background
  for this approach and prove some of the most significant results.
LOCATION:AAC006 http://plan.epfl.ch/?zoom=20&recenter_y=5864224.42038&rece
 nter_x=730672.24955&layerNodes=fonds\,batiments\,labels\,information\,park
 ings_publics\,arrets_metro&floor=0&q=AAC006
STATUS:CONFIRMED
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