Stable matchings in high dimensions via the Poisson-weighted infinite tree

arXiv: Probability, 2017.

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Abstract:

We consider the stable matching of two independent Poisson processes in $mathbb{R}^d$ under an asymmetric color restriction. Blue points can only match to red points, while red points can match to points of either color. It is unknown whether there exists a choice of intensities of the red and blue processes under which all points are mat...More

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