Fixation and consensus times on a network: a unified approach

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dc.creatorBaxter, G. J.
dc.creatorBlythe, R. A.
dc.creatorMcKane, A. J.
dc.date2008-01-20
dc.date2009-01-05
dc.date.accessioned2026-07-07T12:23:32Z
dc.date.available2026-07-07T12:23:32Z
dc.descriptionWe 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.
dc.description4+epsilon pages, two-column, RevTeX4, 3 eps figures; version accepted by Phys. Rev. Lett
dc.identifierhttps://arxiv.org/abs/0801.3083
dc.identifierhttp://arxiv.org/abs/0801.3083
dc.identifierPhys. Rev. Lett. 101, 258701 (2008)
dc.identifierdoi:10.1103/PhysRevLett.101.258701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214024
dc.subjectStatistical Mechanics
dc.subjectPhysics and Society
dc.subjectQuantitative Methods
dc.titleFixation and consensus times on a network: a unified approach
dc.typetext

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