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SUMMARY:Delocalising the parabolic Anderson model - Nadia Sidorova (UCL)
DTSTART:20170124T163000Z
DTEND:20170124T173000Z
UID:TALK70615@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The parabolic Anderson problem is the Cauchy problem for the h
 eat equation on the integer lattice with random potential. It is well-know
 n that\, unlike the standard heat equation\, the solution of the parabolic
  Anderson model exhibits strong localisation. In particular\, for a wide c
 lass of iid potentials it is localised at just one point. In the talk\, we
  discuss a natural modification of the parabolic Anderson model on Z\, whe
 re the one-point localisation breaks down for heavy-tailed potentials and 
 remains unchanged for light-tailed potentials\, exhibiting a range of phas
 e transitions. This is a joint work with Stephen Muirhead and Richard Pyma
 r.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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