Poissonian rain coloring and a self-similar process of coalescing planar partitions

Probability Seminar
Feb 22, 2017 3:10pm to 4:00pm
1011 Evans Hall
Happening As Scheduled
Plant differently colored points in the plane; then let random points (``Poisson rain") fall, and give each new point the color of the nearest existing point. Previous investigation and simulations strongly suggest that the colored regions converge (in some sense) to a random partition of the plane. We prove a weak version of this.
David Aldous, U. C. Berkeley