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SUMMARY:Conformal restriction: the trichordal case - Wei Qian (ETH)
DTSTART:20160524T141500Z
DTEND:20160524T151500Z
UID:TALK66330@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In the present talk\, we focus on the study of random subsets 
 of a given simply connected domain that join three marked boundary points 
 (namely ’the trichordal case’) and that satisfy the additional restric
 tion property. The study of such properties in two-dimensions was initiate
 d by Lawler\, Schramm and Werner who focused on the chordal case.\n\nThe c
 onstruction of this family of random sets relies on special variants of SL
 E8/3 processes with a drift term in the driving function that involves hyp
 ergeometric functions. It turns out that such a random set can not be a si
 mple curve simultaneously in the neighborhood of all three marked points\,
  and that the exponent  = 20/27 shows up in the description of the law of 
 the skinniest possible symmetric random set with this trichordal restricti
 on property.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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