On a Class of Growth-Maximal Hardcore Processes

DOI10.1080/15326349.2015.973722zbMath1310.60059arXiv1303.2092OpenAlexW2023300342MaRDI QIDQ4981889

Sven Ebert, Günter Last

Publication date: 20 March 2015

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2092

zbMATH Keywords

point processcentral limit theoremgrowth modelcontinuum percolationlilypond modelhardcore model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) 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

• A one-dimensional Poisson growth model with non-overlapping intervals.
• Pattern formation by growing droplets: The touch-and-stop model of growth
• Gaussian limits for random geometric measures
• Existence, uniqueness, and algorithmic computation of general lilypond systems
• Nearest neighbor and hard sphere models in continuum percolation
• Percolation and limit theory for the poisson lilypond model
• The volume fraction of a Poisson germ model with maximally non-overlapping spherical grains
• Descending chains, the lilypond model, and mutual-nearest-neighbour matching

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