Abstract
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 with interactions specified by strengths . For any set of , we derive an approximate expression for the mean time to reach fixation or consensus (all or 1). Remarkably, in a case relevant to language change, this time is independent of the network structure.
- Received 20 January 2008
DOI:https://doi.org/10.1103/PhysRevLett.101.258701
©2008 American Physical Society