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 } }
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
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References
SHOWING 1-10 OF 99 REFERENCES
Update rules and interevent time distributions: slow ordering versus no ordering in the voter model.
- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2011
- 47
- PDF
Voter models on heterogeneous networks.
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2008
- 220
- PDF
A Poissonian explanation for heavy tails in e-mail communication
- Mathematics, Computer Science
- Proceedings of the National Academy of Sciences
- 2008
- 358
- PDF
The origin of bursts and heavy tails in human dynamics
- Computer Science, Mathematics
- Nature
- 2005
- 1,857
- PDF
Random graphs with arbitrary degree distributions and their applications.
- Mathematics, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2001
- 3,141
- PDF
Modeling bursts and heavy tails in human dynamics
- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2006
- 588
- PDF
Message passing approach for general epidemic models.
- Computer Science, Physics
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2010
- 207
- PDF
Impact of non-Poissonian activity patterns on spreading processes.
- Physics, Biology
- Physical review letters
- 2007
- 285
- PDF