Voter models on heterogeneous networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 4, 2008, Pages

  Sood, V ^a   Antal, Tibor ^b   Redner, S ^c  

^a UNIVERSITY OF CALGARY   (Canada)

^b HARVARD UNIVERSITY   (United States)

^c Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; POPULATION DYNAMICS; PROBABILITY DISTRIBUTIONS;

DEGREE DISTRIBUTION; DISTRIBUTION SCALES; INVASION PROCESSES; VOTER MODELS;

PARTICLES (PARTICULATE MATTER);

EID: 42549120838     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.041121     Document Type: Article

References (28)

1. R. Cohen, K. Erez, D. ben-Avraham, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4626 85, 4626 (2000).
2. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066117 63, 066117 (2001).
3. S. N. Dorogovtsev, A. V. Goltsev, and J. F. F. Mendes, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.016104 66, 016104 (2002).
4. T. M. Liggett, Interacting Particle Systems (Springer-Verlag, Berlin, 2005).
5. P. L. Krapivsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45.1067 45, 1067 (1992).
6. C. Castellano, Modeling Cooperative Behavior in the Social Sciences, edited by, J. Marro, AIP Conf. Proc. No. 779 (American Institute of Physics, Melville, 2005), p. 114.
7. P. A. P. Moran, The Statistical Processes of Evolutionary Theory (Clarendon Press, Oxford, 1962).
8. M. A. Nowak, Evolutionary Dynamics (Harvard University Press, Cambridge, MA, 2006).
9. M. C. Whitlock and N. H. Barton, Genetics GENTAE 0016-6731 146, 427 (1997).
10. E. Lieberman, C. Hauert, and M. A. Nowak, Nature (London) NATUAS 0028-0836 10.1038/nature03204 433, 312 (2005).
11. K. Suchecki, V. M. Eguiluz, and M. San Miguel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10329-8 69, 228 (2005).
12. W. Ewens, Mathematical Population Genetics I. Theoretical Introduction (Springer-Verlag, Berlin, 2004).
13. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, New York, 2001).
14. N. G. van Kampen, Stochastic Processes in Physics and Chemistry, 2nd ed. (North-Holland, Amsterdam, 1997).
15. M. Kimura, The Neutral Theory of Molecular Evolution (Cambridge University Press, Cambridge, 1983).
16. V. Sood and S. Redner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.178701 94, 178701 (2005).
17. M. Molloy and B. Reed, Random Struct. Algorithms RSALFD 1042-9832 6, 161 (1995).
18. P. L. Krapivsky and S. Redner, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/45/302 35, 9517 (2002).
19. P. L. Krapivsky and S. Redner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066123 63, 066123 (2001).
20. T. Antal, S. Redner, and V. Sood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.188104 96, 188104 (2006).
21. R. M. Anderson and R. M. May, Infectious Diseases in Humans (Oxford University Press, Oxford, 1992).
22. R. Pastor-Satorras and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3200 86, 3200 (2001).
23. M. Barthelemy, A. Barrat, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.178701 92, 178701 (2004).
24. D. J. Watts, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.082090499 99, 5766 (2002).
25. A. Gronlund and P. Holme, Adv. Complex Syst. ZZZZZZ 0219-5259 8, 261 (2005).
26. J. Bendor, B. A. Huberman, and F. Wu, e-print arXiv:physics/0509217.
27. G. Szabó and G. Fáth, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2007.04.004 446, 97 (2007).
28. F. C. Santos and J. M. Pacheco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.098104 95, 098104 (2005).