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SUMMARY:The dynamic phi^4 model in the plane - Mourrat\, J-C (ENS - Lyon)
DTSTART:20150205T160000Z
DTEND:20150205T170000Z
UID:TALK57850@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The dynamic phi^4 model is a non-linear stochastic PDE which i
 nvolves a cubic power of the solution. In dimensions 3 and less\, solution
 s are expected to have the same local regularity as the linearised equatio
 n\, for which the law of the Gaussian free field is invariant. Hence\, in 
 dimensions 2 and 3\, some renormalisation needs to be performed in order t
 o define the cubic power of the solution. In the (full) plane\, I will exp
 lain how to do this and show that the stochastic PDE has a well-defined so
 lution for all times. If time permits\, I will also sketch a proof that th
 e model is the scaling limit of a near-critical Ising model with long-rang
 e interactions. Joint work with Hendrik Weber.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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