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UID:8244@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141117T133000
DTEND;TZID=Europe/Paris:20141117T153000
DTSTAMP:20241210T145739Z
URL:https://www.i2m.univ-amu.fr/evenements/processus-de-branchement-avec-i
 nteraction/
SUMMARY:Vi Le (I2M\, Aix-Marseille Université): Processus de branchement a
 vec interaction
DESCRIPTION:Vi Le: http://www.theses.fr/s110650\n\nBranching processes with
  interaction\nThis thesis consists of four chapters:\n\nChapter 1 investig
 ates the distribution of the coalescence time (most recent common ancestor
 ) for two individuals picked at random (uniformly) in the current generati
 on of a continuous time Bienaymé-Galton-Watson process.\n\nIn chapter 2 w
 e obtain a Ray-Knight representation of Feller's branching diffusion with 
 logistic growth in terms of the local times of a reflected Brownian motion
  H with a drift that is affine in the local time accumulated by H at its c
 urrent level.\n\nChapter 3 considers the Feller's branching diffusion with
  general competition. We give precise conditions on the competition term\,
  in order to decide whether the extinction time (which is also the height 
 of the process) remains or not bounded as the initial population size tend
 s to infinity\, and similarly for the total mass of the process.\n\nIn cha
 pter 4 we generalize the results of chapter 3 to the case of continuous st
 ate branching process with competition which has discontinuous paths.\n\n*
 Membres du jury :\nRapporteur du jury : LI ZENGHU\nRapporteur du jury : DH
 ERSIN JEAN-STEPHANE\nMembre du jury : LAMBERT AMAURY\nMembre du jury : SCH
 APIRA BRUNO\nMembre du jury : WAKOLBINGER ANTON\nDirecteur de thèse : PAR
 DOUX ETIENNE
CATEGORIES:Soutenance de thèse,ALEA,Probabilités
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