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Connected allocation to Poisson points in R^2

Maxim Krikun
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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.

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Maxim Krikun. 2007-03-21. Connected allocation to Poisson points in R^2. https://arxiv.org/abs/math/0701611

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