The two-type Richardson model with unbounded initial configurations

DOI10.1214/07-AAP440zbMath1146.60075arXiv0710.5602OpenAlexW3099251085MaRDI QIDQ2475036

Maria Deijfen, Olle Häggström

Publication date: 20 March 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5602

zbMATH Keywords

coexistencefirst-passage percolationcompeting growthRichardson's modelinitial configuration

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

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Cites Work

• On the speed of convergence in first-passage percolation
• Nonmonotonic coexistence regions for the two-type Richardson model on graphs
• A note on some rates of convergence in first-passage percolation
• Subadditive ergodic theory
• Coexistence for Richardson type competing spatial growth models
• Coexistence in two-type first-passage percolation models
• Absence of mutual unbounded growth for almost all parameter values in the two-type Richardson model.
• First passage percolation and a model for competing spatial growth
• A stochastic model for competing growth on $\mathbb{R}^d$
• The Initial Configuration is Irrelevant for the Possibility of Mutual Unbounded Growth in the Two-Type Richardson Model
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