Heterogeneous pair approximation for voter models on networks

Abstract

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.

6 pages, 6 figures, published version

References in corpus (5)

• Statistical physics of social dynamics
• Voter Models on Heterogeneous Networks
• Conservation laws for the voter model in complex networks
• Analytical Solution of the Voter Model on Disordered Networks
• Fixation and consensus times on a network: a unified approach

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