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.