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.
Corners and records of the Poisson process in quadrant.
Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Poisson trees, succession lines and coalescing random walks
P. A. Ferrari, C. Landim, H. Thorisson (2004)
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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Connected allocation to Poisson points in .
Krikun, Maxim (2007)
Electronic Communications in Probability [electronic only]
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A dynamical characterization of Poisson-Dirichlet distributions.
Arguin, Louis-Pierre (2007)
Electronic Communications in Probability [electronic only]
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Two coalescents derived from the ranges of stable subordinators.
Bertoin, Jean, Pitman, Jim (2000)
Electronic Journal of Probability [electronic only]
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Trees and matchings from point processes.
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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