Heterogeneous pair approximation for voter models on networks

Details Heterogeneous pair approximation for voter models on networks Heterogeneous pair approximation for voter models on networks

2009-03-31

arxiv.org/abs/0903.5489v3

EPL, 88, 58004 (2009)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures, published version

Scientific paper

For models whose evolution takes place on a network it is often necessary to augment the mean-field approach by considering explicitly the degree dependence of average quantities (heterogeneous mean-field). Here we introduce the degree dependence in the pair approximation (heterogeneous pair approximation) for analyzing voter models on uncorrelated networks. This approach gives an essentially exact description of the dynamics, correcting some inaccurate results of previous approaches. The heterogeneous pair approximation introduced here can be applied in full generality to many other processes on complex networks.

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