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SUMMARY:On the peeling process of random planar maps  - Professor Nicolas 
 Curien\, Universite Paris-Sud Orsay 
DTSTART:20141125T140000Z
DTEND:20141125T150000Z
UID:TALK55319@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:Abstract : The spatial Markov property of random planar maps i
 s arguably one of the most useful properties of these random lattices.\nRo
 ughly speaking\, it says that after exploring a region of the map\, the la
 w of the remaining part only depends on the perimeter of the discovered re
 gion. It has been first heuristically used by Watabiki in the physics lite
 rature under the name of ``peeling process'' but was rigorously defined in
  2003 by Angel in the case of the Uniform Infinite Planar Triangulation (U
 IPT). Since then\, it has been used to\nderive information about the metri
 c\, (bernoulli and first passage) percolation\, simple random walk and rec
 ently about the conformal structure of random planar maps. It is also at t
 he core of the construction of ``hyperbolic'' random maps. In this talk\, 
 we will introduce smoothly the peeling process and present some of its mai
 n applications.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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