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SUMMARY:The Dirichlet problem for circle packings - Asaf Nachmias (Tel Avi
 v)
DTSTART:20180918T130000Z
DTEND:20180918T140000Z
UID:TALK110428@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:To what extent does the random walk on the circle packing of a
  plane triangulation behave like Brownian motion? We show that with a cert
 ain natural assignment of weights to the edges (due to Dubejko 1995) the e
 xit measure of the walk from a given domain converges to the exit measure 
 of Brownian motion as the circles get smaller. This improves previous resu
 lts of Skopenkov 2013 and Werness 2015. An important point is that no assu
 mptions on the vertex degrees of the map is made\, making the result appli
 cable to random planar maps models.\n\nJoint work with O. Gurel-Gurevich a
 nd D. Jerison
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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