Voter model with non-Poissonian inter-event intervals

@article{Takaguchi2011VoterMW,
  title={Voter model with non-Poissonian inter-event intervals},
  author={Taro Takaguchi and N. Masuda},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={84 3 Pt 2},
  pages={
          036115
        }
}
  • Taro Takaguchi, N. Masuda
  • Published 2011
  • Mathematics, Computer Science, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • Recent analysis of social communications among humans has revealed that the interval between interactions for a pair of individuals and for an individual often follows a long-tail distribution. We investigate the effect of such a non-Poissonian nature of human behavior on dynamics of opinion formation. We use a variant of the voter model and numerically compare the time to consensus of all the voters with different distributions of interevent intervals and different networks. Compared with the… CONTINUE READING
    32 Citations

    Figures and Topics from this paper

    Timing Interactions in Social Simulations: The Voter Model
    • 10
    • PDF
    Reduction from non-Markovian to Markovian dynamics: the case of aging in the noisy-voter model
    • 2
    • PDF
    Estimating inter-event time distributions from finite observation periods in communication networks
    • Mikko Kivelä, M. Porter
    • Computer Science, Medicine
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2015
    • 35
    • PDF
    Generalized Master Equations for Non-Poisson Dynamics on Networks
    • 82
    • PDF
    Flow Motifs Reveal Limitations of the Static Framework to Represent Human interactions
    • L. Rocha, V. Blondel
    • Computer Science, Physics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2013
    • 14
    • PDF
    A Gillespie Algorithm for Non-Markovian Stochastic Processes
    • 33
    • PDF

    References

    SHOWING 1-10 OF 99 REFERENCES
    Update rules and interevent time distributions: slow ordering versus no ordering in the voter model.
    • 47
    • PDF
    Voter models on heterogeneous networks.
    • V. Sood, T. Antal, S. Redner
    • Mathematics, Medicine
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2008
    • 220
    • PDF
    A Poissonian explanation for heavy tails in e-mail communication
    • 359
    • PDF
    The origin of bursts and heavy tails in human dynamics
    • 1,864
    • PDF
    Random graphs with arbitrary degree distributions and their applications.
    • 3,151
    • PDF
    Modeling bursts and heavy tails in human dynamics
    • 589
    • PDF
    Message passing approach for general epidemic models.
    • B. Karrer, M. Newman
    • Computer Science, Physics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2010
    • 208
    • PDF