The genealogy of a cluster in the multitype voter model.

DOI10.1214/aop/1019160499zbMath1108.60317OpenAlexW1992366116MaRDI QIDQ1872160

Jochen Geiger, J. Theodore Cox

Publication date: 6 May 2003

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

Full work available at URL: https://projecteuclid.org/euclid.aop/1019160499

zbMATH Keywords

Poisson point processcoalescing random walkVoter model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

On the range of lattice models in high dimensions

Cites Work

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• Rescaled voter models converge to super-Brownian motion.
• Asymptotics for interacting particle systems onZ d
• A limit theorem for patch sizes in a selectively-neutral migration model
• The asymptotic behaviour of an invasion process

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