Critical One-dimensional Multi-particle DLA

Critical One-dimensional Multi-particle DLA

Probability Seminar
Oct 28, 2020, 03:10 PM - 04:00 PM | Zoom link: https://berkeley.zoom.us/j/93030418340 Evans Hall | Happening As Scheduled
Danny Nam, Princeton University

In multi-particle Diffusion Limited Aggregation (DLA) a sea of particles performs independent random walks until they run into the aggregate and are absorbed. In dimension 1, the rate of growth of the aggregate depends on λ, the density of the particles. Kesten and Sidoravicius proved that when λ1 (subsequently confirmed by Sly) and t^{2/3} growth at the critical density λ=1. We...