Connected allocation to Poisson points in R^2
arXiv:math/0701611
Abstract
This note answers one question in [math.PR/0505668], concerning the connected allocation for the Poisson process in R^2. The proposed solution makes use of the Riemann map from the plane minus the minimal spanning forest of the Poisson point process to the halfplane. A picture of a numerically simulated example is included.
6 pages, 3 figures; figures optimized