

Dimension Dependence of Critical Phenomena in Percolation
De Thomas Hutchcroft
Apparaît dans la collection : 2022 - T1 - WS3 - Mathematical models in ecology and evolution
Joint work with Yujin H. Kim, Eyal Lubetzky, Bastien Mallein and Ofer Zeitouni.
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.