A stable marriage of Poisson and Lebesgue
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Publication:850966
DOI10.1214/009117906000000098zbMath1111.60008arXivmath/0505668OpenAlexW3106468337MaRDI QIDQ850966
Yuval Peres, Alexander E. Holroyd, Christopher Hoffmann
Publication date: 8 November 2006
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0505668
Geometric probability and stochastic geometry (60D05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Transforming random elements and shifting random fields
- Percolation for the stable marriage of Poisson and Lebesgue
- Group-invariant percolation on graphs
- Potential theory on infinite networks
- Infinite clusters in dependent automorphism invariant percolation on trees
- How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields
- Extra heads and invariant allocations
- Tail Bounds for the Stable Marriage of Poisson and Lebesgue
- The percolation process on a tree where infinite clusters are frozen
- College Admissions and the Stability of Marriage