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SUMMARY:Blossoming trees and the scaling limit of maps - Albenque\, M (col
 e Polytechnique)
DTSTART:20150420T103000Z
DTEND:20150420T113000Z
UID:TALK59142@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-authors: Louigi Addario-Berry (Mc Gill University)\, Olivie
 r Bernardi (Brandeis University)\, Gwendal Collet (TU Wien)\, ric Fusy (CN
 RS)\, Dominique Poulalhon (Universit Paris 7)\n\nIn the last years\, numer
 ous families of planar maps have been shown to converge to the Brownian ma
 p introduced by Miermont and Le Gall. Most of these results rely on some b
 ijections with labeled trees mobiles due to Schaeffer and Bouttier\, di Fr
 ancesco and Guitter. \n\nIn this talk\, I'll present another class of bije
 ctions between so-called blossoming trees and maps. These bijections have 
 been established 15 years ago but it is not since only recently that we ma
 naged to use them to track down the distances in the maps as a function of
  the trees. This link relies on some canonical  leftmost paths \, which be
 have well both in the map and in the tree. \n\nAs an example of the possib
 le outcomes of these bijections\, I'll prove that the scaling limit of sim
 ple maps (that is maps without loops nor multiple edges) is also the Brown
 ian map. I'll emphasize the combinatorial construction which lies at the h
 eart of this proof.\n
LOCATION:Seminar Room 1\, Newton Institute
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