The extremal point process of branching Brownian motion in $\R^d$

Abstract: Consider a branching Brownian motion in $\R^d$ with $d \geq 1$. 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. Based on a joint work with Yujin H. Kim, Eyal Lubetzky, Bastien Mallein, Ofer Zeitouni.

mathematical physicsprobability

Audience: researchers in the topic

Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .