The two-type Richardson model in the half-plane

DOI10.1214/19-AAP1557zbMath1457.60140arXiv1808.10796OpenAlexW3085007968MaRDI QIDQ2657938

Maria Deijfen, Daniel Ahlberg, Christopher Hoffmann

Publication date: 18 March 2021

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

Full work available at URL: https://arxiv.org/abs/1808.10796

zbMATH Keywords

Busemann functioncoexistencefirst-passage percolationcompeting growthRichardson's model

Mathematics Subject Classification ID

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

Related Items (1)

Coexistence of competing first passage percolation on hyperbolic graphs

Cites Work

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• First passage percolation on \(\mathbb {Z}^2\): a simulation study
• Geodesics in first passage percolation
• First-passage competition with different speeds: positive density for both species is impossible
• An improved subadditive ergodic theorem
• Absence of geodesics in first-passage percolation of a half-plane
• 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.
• Limiting geodesics for first-passage percolation on subsets of \(\mathbb{Z}^{2}\)
• Convergence towards an asymptotic shape in first-passage percolation on cone-like subgraphs of the integer lattice
• First passage percolation and a model for competing spatial growth
• The Initial Configuration is Irrelevant for the Possibility of Mutual Unbounded Growth in the Two-Type Richardson Model

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