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SUMMARY:Stochastic geometry of the quantum Ising model - Jakob Bjornberg (
 Cambridge)
DTSTART:20100518T153000Z
DTEND:20100518T163000Z
UID:TALK24881@talks.cam.ac.uk
CONTACT:Berestycki
DESCRIPTION:The classical Ising model is a well-studied model for phase tr
 ansition. A particularly fruitful way to study this model is via its `grap
 hical representations'\, which allow us to use ideas and arguments from st
 ochastic geometry and percolation theory. This talk will focus on graphica
 l representations of the QUANTUM Ising model\, a much less studied topic. 
 In joint work with Geoffrey Grimmett\, we were able to use graphical repre
 sentations to deduce fundamental facts about the quantum Ising model. Most
  notable of these are sharpness of the phase transition in all dimensions\
 , and bounds on some critical exponents. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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