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VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20191108T111819Z
DTSTART:20191113T150000Z
DTEND:20191113T160000Z
SUMMARY:Nadia Sidorova(UCL) - Localisation and delocalisation in the para
bolic Anderson model
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}y5b-k2q1pq5
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DESCRIPTION:Nadia Sidorova (UCL) joins us for the Probability seminar ser
ies.\n\nThe parabolic Anderson problem is the Cauchy problem for the hea
t equation on the integer lattice with random potential. It describes th
e mean-field behaviour of a continuous-time branching random walk. It is
well-known that\, unlike the standard heat equation\, the solution of t
he parabolic 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-po
int localisation breaks down for heavy-tailed potentials and remains unc
hanged for light-tailed potentials\, exhibiting a range of phase transit
ions.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 2\, Alan Turing Building\, Manchester
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