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SUMMARY:Probabilistic representation of quantum correlation - Daniel Uelts
 chi (Warwick)
DTSTART:20110201T163000Z
DTEND:20110201T173000Z
UID:TALK28860@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:We consider lattice models of quantum spins that can be repres
 ented by random loop models in one more dimensions. Such models have been 
 introduced over the years by Ginibre\, Conlon-Solovej\, Toth\, and Aizenma
 n-Nachtergaele. Long-range correlations are given by loops of macroscopic 
 lengths. We argue that their joint distribution is given by the Poisson-Di
 richlet distribution for random partitions. I will review some results tha
 t support this conjecture\, results that come from either rigorous statist
 ical mechanics\, or from probability theory. This is joint work with C. Go
 ldschmidt and P. Windridge. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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