Connected allocation to Poisson points in R^2
Probability
2007-06-13 v4
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.
Keywords
Cite
@article{arxiv.math/0701611,
title = {Connected allocation to Poisson points in R^2},
author = {Maxim Krikun},
journal= {arXiv preprint arXiv:math/0701611},
year = {2007}
}
Comments
6 pages, 3 figures; figures optimized