BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY: Random stable looptrees -  Igor Kortchemski (ENS Paris)
DTSTART:20140225T140000Z
DTEND:20140225T150000Z
UID:TALK50223@talks.cam.ac.uk
CONTACT:12974
DESCRIPTION: We introduce a class of random compact metric spaces $L_\\alp
 ha$\nindexed by   $\\alpha \\in (1\,2)$ and which we call stable looptrees
 . They\nare made of a collection of random loops glued together along a tr
 ee\nstructure\, can be informally be viewed as dual graphs of $\\alpha$ -s
 table\nLévy trees and are coded by a spectrally positive $\\alpha$-stable
  Lévy\nprocess. We study their properties and see in particular that the\
 nHausdorff dimension of $L_\\alpha$  is almost surely equal to $\\alpha$ .
  We\nalso show that stable looptrees are universal scaling limits\, for th
 e\nGromov–Hausdorff topology\, of various combinatorial models. We final
 ly see\nthat the stable looptree of parameter $3/2$ is closely related to 
 the\nscaling limits of cluster boundaries in critical site-percolation on 
 large\nrandom triangulations.\nBased on joint works with Nicolas Curien
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
END:VEVENT
END:VCALENDAR