The stepping stone model. II: Genealogies and the infinite sites model

DOI10.1214/105051604000000701zbMath1082.60097arXivmath/0503512OpenAlexW2083848320MaRDI QIDQ1774193

J. Theodore Cox, Iljana Zähle, Richard T. Durrett

Publication date: 29 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503512

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Genetics and epigenetics (92D10)

Related Items (10)

Interacting particle systems as stochastic social dynamics ⋮ The spatial \(\Lambda\)-Fleming-Viot process on a large torus: genealogies in the presence of recombination ⋮ Global divergence of spatial coalescents ⋮ The distribution of \(F_{st}\) and other genetic statistics for a class of population structure models ⋮ Modelling evolution in a spatial continuum ⋮ On the width of hybrid zones ⋮ One-dimensional stepping stone models, sardine genetics and Brownian local time ⋮ Intermediate range migration in the two-dimensional stepping stone model ⋮ From coalescing random walks on a torus to Kingman's coalescent ⋮ On spatial coalescents with multiple mergers in two dimensions

Cites Work

• Diffusive clustering in the two dimensional voter model
• Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\)
• Renormalizations of branching random walks in equilibrium
• The stepping stone model: New formulas expose old myths
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