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UID:7842@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160408T110000
DTEND;TZID=Europe/Paris:20160408T120000
DTSTAMP:20241120T205550Z
URL:https://www.i2m.univ-amu.fr/evenements/on-a-scaling-limit-of-the-stoch
 astic-heat-equation-with-exclusion-interaction-dirk-erhard/
SUMMARY:Dirk Erhard (University of Warwick): On a scaling limit of the stoc
 hastic heat equation with exclusion interaction - Dirk Erhard
DESCRIPTION:Dirk Erhard: This talk is about the equation \\partial u(x\,t)/
 \\partial t = \\Delta u(x\,t) + [\\xi(x\,t)-\\rho]u(x\,t)\, x\\in \\Z^d\, 
 t\\geq 0. Here\, \\Delta is the discrete Laplacian and the \\xi-field is a
  stationary and ergodic dynamic random environment with mean $\\rho$ that 
 drives the equation.\nI will focus on the case where \\xi is given in term
 s of a simple symmetric exclusion process\, i.e.\, $\\xi can be described 
 by a field of simple random walks that move independently from each other 
 subject to the rule that no two random walks are allowed to occupy the sam
 e site at the same time.\nI will discuss the behaviour of the equation whe
 n time and space are suitably scaled by some parameter N that tends to inf
 inity. It turns out that in dimension two and three a renormalisation has 
 to be carried out in order to see a non-trivial limit.\nThis is joint work
  in progress with Martin Hairer.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 016/04/Dirk_Erhard.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20160327T030000
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