Hybrid zones and voter model interfaces

J. T. Cox; R. Durrett

doi:10.3150/bj/1193758711

Hybrid zones and voter model interfaces

J. T. Cox, R. Durrett

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We study the dynamics of hybrid zones in the absence of selection. In dimensions d > 1 the width of the hybrid zone grows as √t but in one dimension the width converges to a non-degenerate limit. We believe that tight interfaces are common in one-dimensional particle systems.

Original language	English (US)
Pages (from-to)	343-370
Number of pages	28
Journal	Bernoulli
Volume	1
Issue number	4
DOIs	https://doi.org/10.3150/bj/1193758711
State	Published - Dec 1995

Keywords

Hybrid zones
Random walk
Recurrent potential kernel
Stochastic spatial model
Voter model interfaces

ASJC Scopus subject areas

Statistics and Probability

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10.3150/bj/1193758711

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title = "Hybrid zones and voter model interfaces",

abstract = "We study the dynamics of hybrid zones in the absence of selection. In dimensions d > 1 the width of the hybrid zone grows as √t but in one dimension the width converges to a non-degenerate limit. We believe that tight interfaces are common in one-dimensional particle systems.",

keywords = "Hybrid zones, Random walk, Recurrent potential kernel, Stochastic spatial model, Voter model interfaces",

author = "Cox, {J. T.} and R. Durrett",

year = "1995",

month = dec,

doi = "10.3150/bj/1193758711",

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pages = "343--370",

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AU - Durrett, R.

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KW - Random walk

KW - Recurrent potential kernel

KW - Stochastic spatial model

KW - Voter model interfaces

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Hybrid zones and voter model interfaces

Abstract

Keywords

ASJC Scopus subject areas

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