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CATEGORIES:Probability
SUMMARY:Conformal restriction: the trichordal case - Wei Q
ian (ETH)
DTSTART;TZID=Europe/London:20160524T151500
DTEND;TZID=Europe/London:20160524T161500
UID:TALK66330AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/66330
DESCRIPTION:In the present talk\, we focus on the study of ran
dom subsets of a given simply connected domain tha
t join three marked boundary points (namely ’the t
richordal case’) and that satisfy the additional r
estriction property. The study of such properties
in two-dimensions was initiated by Lawler\, Schram
m and Werner who focused on the chordal case.\n\nT
he construction of this family of random sets reli
es on special variants of SLE8/3 processes with a
drift term in the driving function that involves h
ypergeometric functions. It turns out that such a
random set can not be a simple curve simultaneousl
y in the neighborhood of all three marked points\,
and that the exponent = 20/27 shows up in the de
scription of the law of the skinniest possible sym
metric random set with this trichordal restriction
property.\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:Perla Sousi
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