Probability Seminar: Exceptional events in critical 2d first-passage percolation

Probability Seminar: Exceptional events in critical 2d first-passage percolation

Probability Seminar
Feb 15, 2023, 03:10 PM - 04:00 PM | 340 Evans Hall | Happening As Scheduled
David Harper, Georgia Tech

In first-passage percolation (FPP), we let \tau_v be i.i.d. nonnegative weights on the vertices of a graph and study the weight of the minimal path between distant vertices. If F is the distribution function of \tau_v, there are different regimes: if F(0) is small, this weight typically grows like a linear function of the distance, and when F(0) is large, the weight is typically of order one. In...