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SUMMARY:Double random currents\, dimers and trees - Marcin Lis (Cambridge)
DTSTART:20161025T141500Z
DTEND:20161025T151500Z
UID:TALK67745@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:I will introduce the (double) random current model\, and brief
 ly talk about its history\nand more recent applications. I will then focus
  on some newly discovered properties of the two-dimensional model.\nThis i
 ncludes the fact that probabilities of certain non-local events are given 
 by determinants of local observables —\nan analogous property of random 
 groves and double dimers was discovered by Kenyon and Wilson in 2006.\nI w
 ill also describe a dimer and spanning tree representation of double rando
 m currents and its connection to the conjecture of Wilson\nwhich states th
 at the contour lines of the critical XOR Ising model converge to the level
  lines of the Gaussian free field in the scaling limit.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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