The extremal point process of branching Brownian motion in Rd скачать в хорошем качестве

The extremal point process of branching Brownian motion in Rd

By Julien Berestycki (U. Oxford) Joint work with Yujin H. Kim, Eyal Lubetzky, Bastien Mallein and Ofer Zeitouni. Abstract: Consider a branching Brownian motion in Rd with d ≥ 1. Where are the particles that have traveled the furthest away from the origin (at a large time t)? If one conditions by what happened early on in the process, in which direction are we likely to fond the furthest particle? Can one describe the structure of the extremal point process at large times? Those questions were already well understood for the case d = 1. In this talk I will present some recent results concerning the multidimensional case. ---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/