Percolation and limit theory for the poisson lilypond model
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Publication:4909202
DOI10.1002/rsa.20410zbMath1267.60107arXiv1008.0769OpenAlexW2144777487MaRDI QIDQ4909202
Mathew D. Penrose, Günter Last
Publication date: 12 March 2013
Published in: Random Structures & Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.0769
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
- Central limit theorems for some graphs in computational geometry.
- A one-dimensional Poisson growth model with non-overlapping intervals.
- Gaussian limits for random geometric measures
- Gaussian limits for multidimensional random sequential packing at saturation
- Existence, uniqueness, and algorithmic computation of general lilypond systems
- Gamma distributions for stationary Poisson flat processes
- A percolating hard sphere model
- Percolation
- Random Geometric Graphs
- Stopping sets: Gamma-type results and hitting properties
- Nearest neighbor and hard sphere models in continuum percolation
- The volume fraction of a Poisson germ model with maximally non-overlapping spherical grains
- Descending chains, the lilypond model, and mutual-nearest-neighbour matching
- Random parking, sequential adsorption, and the jamming limit
