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SUMMARY:Random walk on random planar maps III - Jason Miller (University o
 f Cambridge)
DTSTART:20180713T101500Z
DTEND:20180713T111500Z
UID:TALK107989@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We will describe some recent developments on the study of rand
 om walks on random planar maps.  We first review the continuum constructio
 ns from Liouville quantum gravity as a mating of trees.  We will then expl
 ain how one can analyze the behavior of random walk on the mated-CRT map\,
  a random planar map model defined out of the continuum tree-mating constr
 uctions.  Finally\, we will explain how these results can be transferred t
 o a wide variety of discrete random planar map models.  This is based on j
 oint works with Bertrand Duplantier\, Ewain Gwynne\, and Scott Sheffield.
LOCATION:Seminar Room 1\, Newton Institute
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