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SUMMARY:Recurrence of planar graph limits -  Ori Gurel-Gurevich  (Universi
 ty of British Columbia)
DTSTART:20120717T131500Z
DTEND:20120717T141500Z
UID:TALK39004@talks.cam.ac.uk
CONTACT:12974
DESCRIPTION:We will show that any distributional limit of finite planar\ng
 raphs in which the degree of the root decays exponentially is almost\nsure
 ly recurrent. As a corollary\, we obtain that the uniform infinite\nplanar
  triangulation/quadrangulation (UIPT/UIPQ) are almost surely\nrecurrent\, 
 resolving conjectures of Angel\, Benjamini and Schramm.\nJoint work with A
 saf Nachmias.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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