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SUMMARY:Localisation and delocalisation in the parabolic Anderson model - 
 Nadia Sidorova (University College London)
DTSTART:20190513T140000Z
DTEND:20190513T150000Z
UID:TALK124066@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:The parabolic Anderson problem is the Cauchy problem for the h
 eat equation on the integer lattice with random potential. It describes th
 e mean-field behaviour of a continuous-time branching random walk. It is w
 ell-known that\, unlike the standard heat equation\, the solution of the p
 arabolic Anderson model exhibits strong localisation. In particular\, for 
 a wide class of iid potentials it is localised at just one point. However\
 , in a partially symmetric parabolic Anderson model\, the one-point locali
 sation breaks down for heavy-tailed potentials and remains unchanged for l
 ight-tailed potentials\, exhibiting a range of phase transitions.\n
LOCATION:CMS\, MR13
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