Voter models on weighted networks
نویسندگان
چکیده
منابع مشابه
Voter models on weighted networks.
We study the dynamics of the voter and Moran processes running on top of complex network substrates where each edge has a weight depending on the degree of the nodes it connects. For each elementary dynamical step the first node is chosen at random and the second is selected with probability proportional to the weight of the connecting edge. We present a heterogeneous mean-field approach allowi...
متن کاملVoter models on heterogeneous networks.
We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update event an individual changes state to agree with a neighbor. For the voter model, an individual "imports" its state from a randomly chosen neighbor. Here the average time TN to reach consensus for a network of N nodes wi...
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1 Departamento de Electromagnetismo y F́ısica de la Materia and Instituto “Carlos I” de F́ısica Teórica y Computacional, Universidad de Granada, Facultad de Ciencias, Fuentenueva s/n, E-18071 Granada, Spain 2 Department of Physics, College of Computer and Information Sciences, Bouvé College of Health Sciences, Northeastern University, Boston MA02120, USA 3 Departament de F́ısica i Enginyeria Nucle...
متن کاملDynamics of Voter Models on Simple and Complex Networks
How do groups of people come to consensus? While it’s hard to imagine a large group being able to agree on anything, there are some settings where unanimity is necessary—juries are one example. The voter model (VM) represents an idealization of this opinion evolution in which each individual, or agent, is influenced only by other members of the group; there is also no notion of a “right” or a “...
متن کاملHeterogeneous pair approximation for voter models on networks
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 e...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.83.066117