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SUMMARY:Directed polymers and the quantum Toda lattice - Neil O'Connell (U
 niv .Warwick)
DTSTART:20091020T153000Z
DTEND:20091020T163000Z
UID:TALK19781@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:We give a characterization of the law of the partition functio
 n of a Brownian directed polymer model in terms of the eigenfunctions of t
 he quantum Toda lattice. The proof is via a multidimensional generalizatio
 n of theorem of Matsumoto and Yor concerning exponential functionals of Br
 ownian motion. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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