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SUMMARY:An SPDE with the laws of Levy processes as its invariant measures 
 - Xie\, B (Shinshu)
DTSTART:20100618T130000Z
DTEND:20100618T140000Z
UID:TALK25303@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:It is well known that the Wiener measure is the invariant meas
 ure of the stochastic heat equation driven by a space-time Gaussian noise.
  Hence\, it is natural to ask to whether the law of one dimensional Levy p
 rocess will be invariant under a stochastic heat equation? In this talk\, 
 we will first construct a singular noise and then consider a linear heat e
 quation on a half line with this noise to answer the above question. Our a
 ssumption on the corresponding Levy measure is very mild to show that the 
 distributions of Levy processes are the only invariant measures of the sto
 chastic heat equation.\n
LOCATION:Seminar Room 1\, Newton Institute
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