Stationary random graphs with prescribed iid degrees on a spatial Poisson process.

Deijfen, Maria

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Displaying similar documents to “Stationary random graphs with prescribed iid degrees on a spatial Poisson process.”

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Suppose that red and blue points occur as independent homogeneous Poisson processes in ℝ. We investigate translation-invariant schemes for perfectly matching the red points to the blue points. For any such scheme in dimensions =1, 2, the matching distance from a typical point to its partner must have infinite /2th moment, while in dimensions ≥3 there exist schemes where has finite exponential moments. The Gale–Shapley stable marriage is one natural matching scheme, obtained by iteratively...

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