Connected allocation to Poisson points in R^2

Details Connected allocation to Poisson points in R^2 Connected allocation to Poisson points in R^2

2007-01-22

arxiv.org/abs/math/0701611v4

Electronic Communications in Probability 12 (08/05/2007) 140-145

Mathematics

Probability

6 pages, 3 figures; figures optimized

Scientific paper

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.

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