Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.258701
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Funding
- RCUK
- EPSRC (UK) [GR/T11784]
- Engineering and Physical Sciences Research Council [GR/T11784/01] Funding Source: researchfish
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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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