q-Gaussian approximants mimic non-extensive statistical-mechanical expectation for many-body probabilistic model with long-range correlations

Central European Journal of Physics

Volumn 7, Issue 3, 2009, Pages 387-394

  Thistleton, William J ^a   Marsh, John A ^b   Nelson, Kenric P ^c   Tsallis, Constantino ^d,e  

^a SUNY POLYTECHNIC INSTITUTE   (United States)

^b STATE UNIVERSITY OF NEW YORK   (United States)

^c RAYTHEON COMPANY   (United States)

^d CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^e SANTA FE INSTITUTE   (United States)

Author keywords

Correlated systems; Non extensive statistical mechanics; q Gaussian

Indexed keywords

EID: 67649986053     PISSN: 18951082     EISSN: 16443608     Source Type: Journal    
DOI: 10.2478/s11534-009-0054-4     Document Type: Conference Paper

References (13)

1. G. Grimmett, D. Stirzaker, Probability and Random Processes, 3rd edition (Oxford University Press, Oxford, England, 2001)
2. C. Tsallis, J. Stat. Phys. 52, 479 (1988)
3. M. Gell-Mann, C. Tsallis, Nonextensive Entropy: Interdisciplinary Applications (Oxford University Press, New York, 2004)
4. S. Umarov, C. Tsallis, S. Steinberg, Milan Journal of Mathematics 76, 307 (2008)
5. K. Pearson, Philos. T. R. Soc. A 186, 343 (1895)
6. P. Bickel, K. Doksum, Mathematical Statistics (Prentice Hall, Upper Saddle River, NJ, 2001)
7. C. Shalizi, Phys. Rev. E, arXiv:mAth/0701854
8. H. J. Hilhorst, G. Schehr, J. Stat. Mech.-Theory E P06003 (2007)
9. A. Pluchino, A. Rapisarda, C. Tsallis, Europhys. Lett. 80, 26002 (2007)
10. A. Pluchino, A. Rapisarda, C. Tsallis, Physica A, 387, 3121 (2008)
11. A. Rodríguez, V. Schwámmle, C. Tsallis, J. Stat. Mech.-Theory E. P09006 (2008)
12. V. E. Bening, V. Y. Korolev, Theor. Probab. Appl.+ 49, 377 (2004)
13. C. Vignat, A. Plastino, Phys. Lett. A 360, 415 (2007)