A comprehensive classification of complex statistical systems and an axiomatic derivation of their entropy and distribution functions

EPL

Volumn 93, Issue 2, 2011, Pages

  Hanel, R ^a   Thurner, S ^a,b  

^a MEDICAL UNIVERSITY OF VIENNA   (Austria)

^b SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79952579189     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/93/20006     Document Type: Article

References (21)

1. Tsallis C. 1988 J. Stat. Phys. 52 479
2. Anteneodo C. and Plastino A. R. 1999 J. Phys. A: Math. Gen. 32 1089
3. Kaniadakis G. 2002 Phys. Rev. E 66 056125
4. Curado E. M. F. and Nobre F. D. 2004 Physica A 335 94
5. Tsekouras G. A. and Tsallis C. 2005 Phys. Rev. E 71 046144
6. Shannon C. E. 1948 Bell Syst. Tech. J. 27 379
7. Shannon C. E. 1948 Bell Syst. Tech. J. 27 623
8. Khinchin A. I. 1957 Mathematical Foundations of Information Theory (New York: Dover Publications)
9. Corless R. M., Gonnet G. H., Hare D. E. G., Jeffrey D. J. and Knuth D. E. 1996 Adv. Comput. Math. 5 329
10. Banwell T. C. and Jayakumar A. 2000 Electron. Lett. 36 291
11. Hanel R. and Thurner S. 2007 Physica A 380 109
12. Hanel R. and Thurner S. 2009 Braz. J. Phys. 39 413
13. Tsallis C. 2009 Introduction to Nonextensive Statistical Mechanics (New York: Springer)
14. Shafee F. 2007 IMA J. Appl. Math. 72 785
15. Andrade J. S., da Silva G. F. T., Moreira A. A., Nobre F. D. and Curado E. M. F. 2010 Phys. Rev. Lett. 105 260601
16. Lesche B. 1982 J. Stat. Phys. 27 419
17. Abe S. 2002 Phys. Rev. E 66 046134
18. Jizba P. and Arimitsu T. 2004 Phys. Rev. E 69 026128
19. Kaniadakis G. and Scarfone A. M. 2004 Physica A 340 102
20. Hanel R., Thurner S. and Tsallis C. 2009 EPL 85 20005
21. Hanel R. and Thurner S. arXiv:1005.0138v2 (2010)