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SUMMARY:Normal approximation for a random elliptic PDE - Nolen\, J (Duke U
 niversity)
DTSTART:20120914T130000Z
DTEND:20120914T135000Z
UID:TALK39752@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will talk about solutions to an elliptic PDE with conductivi
 ty coefficient that varies randomly with respect to the spatial variable. 
 It has been known for some time that homogenization may occur when the coe
 fficients are scaled suitably. Less is known about fluctuations of the sol
 ution around its mean behaviour. For example\, imagine a conductor with an
  electric potential imposed at the boundary. Some current will flow throug
 h the material...what is the net current per unit volume? For a finite ran
 dom sample of the material\, this quantity is random. In the limit of larg
 e sample size it converges to a deterministic constant (homogenization). I
  will describe a recent result about normal approximation: the probability
  law of the net current is very close to that of a normal random variable 
 having the same mean and variance. Closeness is quantified by an error est
 imate in total variation.\n
LOCATION:Seminar Room 1\, Newton Institute
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