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arxiv: math/0701611 · v4 · submitted 2007-01-22 · 🧮 math.PR

Connected allocation to Poisson points in R²

classification 🧮 math.PR
keywords poissonallocationconnectedprocessanswersconcerningexampleforest
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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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