Unified model for network dynamics exhibiting nonextensive statistics

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

Volumn 76, Issue 3, 2007, Pages

  Thurner, Stefan ^a,b   Kyriakopoulos, Fragiskos ^a,c   Tsallis, Constantino ^b,d  

^a MEDICAL UNIVERSITY OF VIENNA   (Austria)

^b SANTA FE INSTITUTE   (United States)

^c JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^d CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SELF ORGANIZING MAPS;

CONNECTIVITY DISTRIBUTIONS; DEGREE DISTRIBUTIONS; NETWORK DYNAMICS;

STATISTICS;

EID: 34548839416     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.036111     Document Type: Article

References (32)

1. C. Tsallis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016429 52, 479 (1988).
2. Nonextensive Entropy-Interdisciplinary Applications, edited by, M. Gell-Mann, and, C. Tsallis, (Oxford University Press, New York, 2004);
3. C. Tsallis, M. Gell-Mann, and Y. Sato, Proc. Natl. Acad. Sci. U.S.A. 120, 15377 (2005).
4. D. J. B. Soares, C. Tsallis, A. M. Mariz, and L. R. da Silva, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10467-y 70, 70 (2005).
5. S. Thurner and C. Tsallis, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10221-1 72, 197 (2005).
6. S. Thurner, Europhys. News EUPNAS 0531-7479 36, 218 (2005).
7. D. R. White, N. Kejzar, C. Tsallis, D. Farmer, and S. White, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.016119 73, 016119 (2006).
8. G. Wilk and Z. Wlodarczyk, Acta Phys. Pol. B APOBBB 0587-4254 35, 871 (2004).
9. M. D. S. de Meneses, S. D. da Cunha, D. J. B. Soares, and L. R. da Silva, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.162.131 162, 131 (2006).
10. H. Hasegawa, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.10.004 365, 383 (2006).
11. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006).
12. C. Tsallis, R. S. Mendes, and A. R. Plastino, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00437-3 261, 534 (1998).
13. A.-L. Barabasi and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
14. R. Albert and A.-L. Barabasi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5234 85, 5234 (2000).
15. S. S. Manna and P. Sen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066114 66, 066114 (2002).
16. S.-H. Yook, H. Jeong, and A.-L. Barabasi, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.172501399 99, 13382 (2002).
17. G. Mukherjee and S. S. Manna, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.036111 74, 036111 (2006).
18. B. J. Kim, A. Trusina, P. Minnhagen, and K. Sneppen, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00065-y 43, 369 (2005).
19. S. Abe and S. Thurner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72. 036102 72, 036102 (2005).
20. C. Beck and E. G. D. Cohen, Physica A PHYADX 0378-4371 10.1016/S0378-4371(03)00019-0 322, 267 (2003).
21. D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
22. M. Baiesi and S. S. Manna, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.047103 68, 047103 (2003).
23. G. Palla, I. Derenyi, I. Farkas, and T. Vicsek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.046117 69, 046117 (2004)
24. I. Farkas, I. Dernyi, G. Palla, and T. Vicsek, Lect. Notes Phys. LNPHA4 0075-8450 650, 163 (2004).
25. J. Park and M. E. J. Newman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066117 70, 066117 (2004).
26. C. Biely and S. Thurner, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.066116 74, 066116 (2006).
27. S. Thurner and C. Biely, Physica A 372, 346 (2006). 0378-4371
28. E. Ravasz and A.-L. Barabasi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.026112 67, 026112 (2003).
29. P. Erdös and A. Rényi, Publ. Math. (Debrecen) PUMAAR 0033-3883 6, 290 (1959)
30. P. Erdös and A. Rényi, Publ. Math. Inst. Hung. Acad. Sci. 5, 17 (1960).
31. A.-L. Barabasi, R. Albert, and H. Jeong, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00291-5 272, 173 (1999).
32. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, Oxford, 2003).