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SUMMARY:Localisation and ageing in the parabolic Anderson model - Sidorova
 \, N (University College London)
DTSTART:20150625T123000Z
DTEND:20150625T133000Z
UID:TALK59943@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:The parabolic Anderson problem is the Cauchy problem for the h
 eat equation on the d-dimensional integer lattice with random potential. I
 t describes the behaviour of branching random walks in a random environmen
 t (represented by the potential) and is being actively studied by mathemat
 ical physicists. One of the most important situations is when the potentia
 l is time-independent and is a collection of independent identically distr
 ibuted random variables. We discuss the intermittency effect occurring for
  such potentials and consisting in increasing localisation and randomisati
 on of the solution. We also discuss the ageing behaviour of the model show
 ing that the periods\, in which the profile of the solutions remains nearl
 y constant\, are increasing linearly over time.\n
LOCATION:Seminar Room 1\, Newton Institute
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