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CATEGORIES:Probability
SUMMARY:Stochastic geometry of the quantum Ising model - J
akob Bjornberg (Cambridge)
DTSTART;TZID=Europe/London:20100518T163000
DTEND;TZID=Europe/London:20100518T173000
UID:TALK24881AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/24881
DESCRIPTION:The classical Ising model is a well-studied model
for phase transition. A particularly fruitful way
to study this model is via its `graphical represen
tations'\, which allow us to use ideas and argumen
ts from stochastic geometry and percolation theory
. This talk will focus on graphical representation
s of the QUANTUM Ising model\, a much less studied
topic. In joint work with Geoffrey Grimmett\, we
were able to use graphical representations to dedu
ce 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 0W
B
CONTACT:Berestycki
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