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SUMMARY:Discrete Riemann mapping and the Poisson boundary - Agelos Georgak
 opoulos (University of Warwick)
DTSTART:20131017T133000Z
DTEND:20131017T143000Z
UID:TALK47840@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:Answering a question of Benjamini & Schramm\, we show that the
  Poisson boundary of any planar\, uniquely absorbing (e.g. one-ended and t
 ransient) graph with bounded degrees can be realised geometrically as a ci
 rcle\, namely as the boundary of a tiling of a cylinder by squares.\nFor t
 his\, we introduce a general criterion for identifying the Poisson boundar
 y of a stochastic process that might have further applications.\n\nThe tal
 k will be self-contained\, assuming no prior knowledge of the mentioned te
 rminology\, and will contain many pictures.
LOCATION:MR12
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