Solution of the voter model by spectral analysis.

@article{Pickering2015SolutionOT,
  title={Solution of the voter model by spectral analysis.},
  author={William Pickering and Chjan C. Lim},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2015},
  volume={91 1},
  pages={
          012812
        }
}
  • William Pickering, Chjan C. Lim
  • Published in
    Physical review. E…
    2015
  • Mathematics, Physics, Medicine
  • An exact spectral analysis of the Markov propagator for the voter model is presented for the complete graph and extended to the complete bipartite graph and uncorrelated random networks. Using a well-defined Martingale approximation in diffusion-dominated regions of phase space, which is almost everywhere for the voter model, this method is applied to compute analytically several key quantities such as exact expressions for the m time-step propagator of the voter model, all moments of consensus… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 31 REFERENCES

    Phys

    • D. Vilone, C. Castellano
    • Rev. E. 69, 016109
    • 2004
    VIEW 13 EXCERPTS
    HIGHLY INFLUENTIAL

    L

    • F. Caccioli
    • Dall’Asta, T. Galla, and T. Rogers, Phys. Rev. E 87, 052114
    • 2013

    Phys

    • N. Masuda
    • Rev. E 88, 052803
    • 2013

    Phys

    • T. Rogers, T. Gross
    • Rev. E 88, 030102(R)
    • 2013

    SIAM J

    • C. Cooper, R. Elsässer, T. Radzik
    • Discrete Math 27(4), 1748
    • 2013
    VIEW 2 EXCERPTS

    Sci

    • M. Turalska, B. West, P. Grigolini
    • Rep. 3, 1371
    • 2013
    VIEW 1 EXCERPT

    Chaos 21

    • W. Zhang, C. Lim, +3 authors G. Korniss
    • 025115
    • 2011
    VIEW 2 EXCERPTS

    Phys

    • A. Baronchelli, C. Castellano, R. Pastor-Satorras
    • Rev. E 83, 066117
    • 2011

    Phys

    • J. Xie, S. Sreenivasan, G. Korniss, W. Zhang, B. Szymanski
    • Rev. E. 84, 011130
    • 2011