Nonextensive statistical mechanics and central limit theorems II - Convolution of q-independent random variables

AIP Conference Proceedings

Volumn 965, Issue , 2007, Pages 21-33

  Queirós, Sílvio M Duarte ^a   Tsallis, Constantino ^a,b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b SANTA FE INSTITUTE   (United States)

Author keywords

Generalised central limit theorem; Nonextensive statistical mechanics; Q independence

Indexed keywords

EID: 40949121681     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2828736     Document Type: Conference Paper

References (23)

1. C. Tsallis and S.M. Duarte Queirós, in the present volume.
2. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
3. L.G. Moyano, C. Tsallis and M. Gell-Mann, Europhys. Lett. 73, 813 (2006).
4. W. Thistleton, J. A. Marsh, K. Nelson, and C. Tsallis, arXiv:cond-mat:/0605570 (pre-print, 2006).
5. H.J. Hilhorst and G. Schehr, J. Stat. Mech., P06003 (2007).
6. S. Umarov, C. Tsallis and S. Steinberg, arXiv:eond-mat/0603593 (pre-print, 2006).
7. S. Umarov, C. Tsallis, M. Gell-Mann and S. Steinberg, arXiv:eond-mat/0606038 (preprint, 2006), and arXiv:eond-mat/0606040 (preprint, 2006).
8. L. Nivanen, A. Le Mehaute and Q.A. Wang, Rep. Math. Phys. 52, 437 (2003).
9. E.P. Borges, Physica A 340, 95 (2004).
10. E.P. Borges, J. Phys. A: Math. Gen. 31, 5281 (1998).
11. W. Heisenberg, Z. Physik 43, 172 (1927).
12. English translation: J. A. Wheeler and H. Zurek, Quantum Theory and Measurement (Princeton Univ. Press, Princeton, 1983).
13. C. Tsallis, M. Gell-Mann and Y. Sato, Proc. Natl. Acad Sc. USA 102, 15377-15382 (2005).
14. C. Tsallis, M. Gell-Mann and Y. Sato Europhysics News 36, 186 (2005) idem.
15. J. Feder, Fractals (Plenum, New York, 1988).
16. C. Tsallis, S.V.F Levy, A.M.C. Souza and R. Maynard, Phys. Rev. Lett. 11 5442 (1996).
17. C. Tsallis, Physica A 340, 1 (2004).
18. L.F. Burlaga and A.F. Viñas, Physica A 356, 375 (2005).
19. L.F. Burlaga, A.F Viñas, N.F. Ness and M.H. Acuña, Astrophys. J. 644, L83 (2006).
20. S.M. Duarte Queirós, L.G. Moyano, J. de Souza and C. Tsallis, Eur Phys. J. B 55, 161 (2007).
21. M.C. Mackey and M. Tyran-Kaminska, Phys. Rep. 422, 167 (2006).
22. U. Timakh, C. Beck, and C. Tsallis, Phys. Rev. E 75, 040106 (2007).
23. A. Pluchino, A. Rapisarda, and C. Tsallis, Europhys. Lett. 80, 26002 (2007).