Hybrid zones and voter model interfaces

DOI10.2307/3318488zbMath0849.60088OpenAlexW4236458425MaRDI QIDQ1907519

J. Theodore Cox, Richard T. Durrett

Publication date: 7 November 1996

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1193758711

zbMATH Keywords

voter modelprobabilistic modelevolution of hybrid zones

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (11)

Rescaled voter models converge to super-Brownian motion. ⋮ Tightness for the interface of the one-dimensional contact process ⋮ Passage-time moments and hybrid zones for the exclusion-voter model ⋮ Numerical analysis of the rebellious voter model ⋮ An invariance principle for biased voter model interfaces ⋮ On the width of hybrid zones ⋮ Voter Model and Biased Voter Model in Heterogeneous Environments ⋮ Branching exclusion process on a strip ⋮ Different clustering regimes in systems of hierarchically interacting diffusions ⋮ Equilibrium interfaces of biased voter models ⋮ Tightness for the interfaces of one-dimensional voter models

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