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SUMMARY:Scaling limits of random planar maps and growth-fragmentations - C
 urien\, N (Universit Paris-Sud)
DTSTART:20150424T143000Z
DTEND:20150424T153000Z
UID:TALK59113@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Jean Bertoin (University Zrich)\, Igor Kortchemski
  (CNRS and cole Polytechnique) \n\nWe prove a scaling limit result for the
  structure of cycles at heights in random Boltzmann triangulations with a 
 boundary. The limit process is described as a compensated fragmentation pr
 ocess of index $-1/2$ with explicit parameters. The proof is based on the 
 analysis of the peeling by layers algorithm in random triangulations. Howe
 ver\, contrary to previous works on the subject we let the exploration bra
 nch and explore different components. The analysis heavily relies on a mar
 tingale structure inside random planar triangulations and a recent scaling
  limits result for discrete time Markov chains. One motivation is to give 
 a new construction of the Brownian map from a compensated growth-fragmenta
 tion process.\n
LOCATION:Seminar Room 1\, Newton Institute
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