Fixation and Consensus Times on a Network: A Unified Approach

被引：52

作者：

Baxter, G. J. ^{[1
]}

Blythe, R. A. ^{[2
]}

McKane, A. J. ^{[3
]}

机构：

[1] Victoria Univ Wellington, Sch Math Stat & Comp Sci, Wellington, New Zealand

[2] Univ Edinburgh, Sch Phys & Astron, SUPA, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] Univ Manchester, Sch Phys & Astron, Theory Grp, Manchester M13 9PL, Lancs, England

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 25期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevLett.101.258701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate a set of stochastic models of biodiversity, population genetics, language evolution, and opinion dynamics on a network within a common framework. Each node has a state 0 < x(i)< 1 with interactions specified by strengths m(ij). For any set of m(ij), we derive an approximate expression for the mean time to reach fixation or consensus (all x(i)=0 or 1). Remarkably, in a case relevant to language change, this time is independent of the network structure.

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页数：4

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