BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A line-breaking construction of the stable trees - Goldschmidt\, C
  (University of Oxford)
DTSTART:20150316T153000Z
DTEND:20150316T163000Z
UID:TALK58412@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Benedicte Haas (Universite Paris-Dauphine) \n\nCons
 ider a critical Galton-Watson tree whose offspring distribution lies in th
 e domain of attraction of a stable law of parameter lpha in (1\,2]\, cond
 itioned to have total progeny n.  The stable tree with parameter lpha in 
 (1\,2] is the scaling limit of such a tree\, where the lpha=2 case is Ald
 ous' Brownian continuum random tree. In this talk\, I will discuss a new\,
  simple construction of the lpha-stable tree for lpha in (1\,2]. We obta
 in it as the completion of an increasing sequence of mathbb{R}-trees built
  by gluing together line-segments one by one. The lengths of these line-se
 gments are related to the increments of an increasing mathbb{R}_+-valued M
 arkov chain. For lpha = 2\, we recover Aldous' line-breaking construction
  of the Brownian continuum random tree based on an inhomogeneous Poisson p
 rocess.\n
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR