Talk by Loic Chaumont (Université Paris VI)
Date and Time: Thursday, November 17, 2005, 10:00 AM in AP&M 6218.
Title: On the genealogy of conditioned Galton-Watson forests
Abstract: We consider k independent Galton-Watson random trees
whose offspring distribution is in the domain of attraction of
any stable law. We prove that conditionally on the total progeny
being equal to n, when n and k tend towards infinity, under
suitable rescaling, the associated coding random walk and height
process converge in law on the Skorohod space respectively
towards the "first passage bridge" of a stable Lévy process with
no negative jumps and its height process.