Stationary random graphs with prescribed iid degrees on a spatial Poisson process.
Deijfen, Maria (2009)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “Poisson matching”
Stationary random graphs with prescribed iid degrees on a spatial Poisson process.
Stationary map coloring
Omer Angel, Itai Benjamini, Ori Gurel-Gurevich, Tom Meyerovitch, Ron Peled (2012)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a planar Poisson process and its associated Voronoi map. We show that there is a proper coloring with 6 colors of the map which is a deterministic isometry-equivariant function of the Poisson process. As part of the proof we show that the 6-core of the corresponding Delaunay triangulation is empty. Generalizations, extensions and some open questions are discussed.
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Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Annales de l'I.H.P. Probabilités et statistiques
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Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)
C. Ryll-Nardzewski (1954)
Studia Mathematica
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Electronic Communications in Probability [electronic only]
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A dynamical characterization of Poisson-Dirichlet distributions.
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Electronic Communications in Probability [electronic only]
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Bertoin, Jean, Pitman, Jim (2000)
Electronic Journal of Probability [electronic only]
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Holroyd, Alexander E., Peres, Yuval (2003)
Electronic Communications in Probability [electronic only]
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Convergence in distribution for subset counts between random sets.
Stark, Dudley (2004)
The Electronic Journal of Combinatorics [electronic only]
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