Pair approximation for the q-voter model with independence on complex networks

Not scheduled
20m
poster

Speaker

Arkadiusz Jędrzejewski (Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology)

Description

We investigate the q-voter model with stochastic noise arising from independence on complex networks. Using the pair approximation, we provide a comprehensive, mathematical description of its behavior and derive a formula for the critical point. The analytical results are validated by carrying out Monte Carlo experiments. The pair approximation prediction exhibits substantial agreement with simulations, especially for networks with weak clustering and large average degree. Nonetheless, for the average degree close to q, some discrepancies originate. It is the first time we are aware of that the presented approach has been applied to the nonlinear voter dynamics with noise. Up till now, the analytical results have been obtained only for a complete graph. We show that in the limiting case the prediction of pair approximation coincides with the known solution on a fully connected network.

Primary author

Arkadiusz Jędrzejewski (Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology)

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