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UID:20260413T103807EDT-5771TZ9xOw@132.216.98.100
DTSTAMP:20260413T143807Z
DESCRIPTION:The scaling limit of CMJ forests.\n\nCrump-Mode-Jagers (CMJ) tr
 ees generalize Galton-Watson trees by allowing individuals to live for an 
 arbitrary duration and give birth at arbitrary times during their life-tim
 e. In this talk\, I will focus on the height and contour processes encodin
 g a general CMJ forest. I will first show that the height process can be e
 xpressed in terms of a random transformation of the ladder height process 
 associated with the underlying Lukasiewicz path. I will present two applic
 ations of this result: (1) in the case of ``short'' edges\, the height pro
 cess of a CMJ is obtained by stretching by a constant factor the height pr
 ocess of the associated genealogical Galton-Watson tree\, and (2) when the
  offspring distribution has a finite second moment\, the genealogy of the 
 CMJ can be obtained from the underlying genealogical structure by a markin
 g procedure\, related to the so-called Poisson snake.\n
DTSTART:20161027T203000Z
DTEND:20161027T213000Z
LOCATION:Room 6254\, CA\, QC\, Montreal\, H3T 1J4\, Pavillon André-Aisensta
 dt\, 2920\, Chemin de la tour\, 5th floor
SUMMARY:Emmanuel Schertzer\, LPMA-UPMC
URL:https://www.mcgill.ca/mathstat/channels/event/emmanuel-schertzer-lpma-u
 pmc-263582
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