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physics.soc-ph2018
Herding and idiosyncratic choices: Nonlinearity and aging-induced transitions in the noisy voter model
Oriol Artime, Adrián Carro, Antonio F. Peralta +3
We consider the herding to non-herding transition caused by idiosyncratic choices or imperfect imitation in the context of the Kirman Model for financial markets, or equivalently t…
physics.soc-ph2018
Stochastic pair approximation treatment of the noisy voter model
A. F. Peralta, A. Carro, M. San Miguel +1
We present a full stochastic description of the pair approximation scheme to study binary-state dynamics on heterogeneous networks. Within this general approach, we obtain a set of…
physics.soc-ph2018
Analytical and numerical study of the non-linear noisy voter model on complex networks
A. F. Peralta, A. Carro, M. San Miguel +1
We study the noisy voter model using a specific non-linear dependence of the rates that takes into account collective interaction between individuals. The resulting model is solved…