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SUMMARY:Random walk on hyperbolic unimodular triangulations and circle pac
 king  - Dr Gourab Ray\, Statistical Laboratory\, University of Cambridge 
DTSTART:20141014T153000Z
DTEND:20141014T163000Z
UID:TALK55317@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:Abstract: We investigate the behaviour of random walk on the c
 ircle packing of a hyperbolic unimodular triangulations. A way to relate t
 he geometry of such graphs with random walks is via circle packing: one\nc
 an draw non-intersecting circles on the plane\, one for each vertex and ci
 rcles touch each other if and only if their vertices are adjacent.  We sho
 w that such a triangulation can be packed in the unit disc and the unit ci
 rcle gives a pretty accurate description of the final behaviour of the sim
 ple random walk on it. Joint work with Omer Angel\, Tom Hutchcroft and Asa
 f Nachmias.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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