Geometric properties of Poisson matchings

DOI10.1007/s00440-010-0282-yzbMath1225.60082arXiv0909.0575OpenAlexW2071274211MaRDI QIDQ718894

Alexander E. Holroyd

Publication date: 27 September 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0575

zbMATH Keywords

matchingpoint processPoisson process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (10)

Bi-Lipschitz bijection between the Boolean cube and the Hamming ball ⋮ Ergodicity of Poisson products and applications ⋮ There is no stationary cyclically monotone Poisson matching in 2d ⋮ Factors of IID on Trees ⋮ Coalescence on the real line ⋮ Optimal stationary markings ⋮ Invariant embeddings of unimodular random planar graphs ⋮ Multicolour Poisson matching ⋮ Minimal matchings of point processes ⋮ Combinatorial Optimization Over Two Random Point Sets

Cites Work

• Unnamed Item
• Poisson matching
• Stationary random graphs with prescribed iid degrees on a spatial Poisson process
• Trees and matchings from point processes
• Connected allocation to Poisson points in \(\mathbb R^{2}\)
• Translation-Equivariant Matchings of Coin Flips on ℤ^d
• College Admissions and the Stability of Marriage

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