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SUMMARY:An interacting particle system related to the quantum Toda chain -
  O'Connell\, N (University of Warwick)
DTSTART:20120918T140000Z
DTEND:20120918T144000Z
UID:TALK39840@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will describe an interacting particle system which can be `s
 olved' via a connection with the quantum Toda chain. The particle system c
 an be regarded as a discretisation of the KPZ (or stochastic heat) equatio
 n and is closely related to a semi-discrete directed random polymer model 
 in 1+1 dimensions. The connection to the quantum Toda chain yields an expl
 icit integral formula for the Laplace transform of the distribution of the
  partition function associated with the polymer model.\n
LOCATION:Seminar Room 1\, Newton Institute
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