Mathematical structures derived from the q-product uniquely determined by Tsallis entropy

IEEE International Symposium on Information Theory - Proceedings

Volumn 2005, Issue , 2005, Pages 2364-2368

  Suyari, Hiroki ^a   Tsukada, Makoto ^b   Uesaka, Yoshinori ^c  

^a CHIBA UNIVERSITY   (Japan)

^b TOHO UNIVERSITY   (Japan)

^c Yamanashi Eiwa College   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN GIBBS STATISTICS; POWER LAW BEHAVIORS; TSALLIS ENTROPY;

CHAOS THEORY; ENTROPY; OPTIMIZATION; PARAMETER ESTIMATION; STATISTICS; THEOREM PROVING;

INFORMATION THEORY;

EID: 33749449772     PISSN: 21578099     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISIT.2005.1523771     Document Type: Conference Paper

References (12)

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2. C. Tsallis, S.V.F. Levy, A.M.C. Souza and R. Maynard, Statistical-mechanical foundation of the ubiquity of Levy distributions in nature, Phys. Rev. Lett. 75, 3589-3593 (1995) [Erratum: 77, 5442 (1996)].
3. D. Prato and C. Tsallis, Nonextensive foundation of Levy distributions, Phys. Rev. E 60, 2398-2401 (2000).
4. C. Tsallis et al., Nonextensive Statistical Mechanics and Its Applications, edited by S. Abe and Y. Okamoto (Springer-Verlag, Heidelberg, 2001).
5. C. Tsallis et al., Nonextensive Entropy: Interdisciplinary Applications, edited by M. Gell-Mann and C. Tsallis (Oxford Univ. Press, New York, 2004).
6. H. Suyari, Nonextensive entropies derived from form invariance of pseudoadditivity, Phys. Rev. E 65, 066118 (7pages) (2002).
7. H. Suyari, Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy, IEEE Trans. Inform. Theory., vol.50, pp.1783-1787 (2004).
8. L. Nivanen, A. Le Mehaute, Q.A. Wang, Generalized algebra within a nonextensive statistics, Rep.Math.Phys. 52, 437-434 (2003).
9. E.P. Borges, A possible deformed algebra and calculus inspired in nonextensive thermostatistics, Physica A 340, 95-101 (2004).
10. H. Suyari, q-Stirling's formula in Tsallis statistics, LANL e-print condmat/0401541.
11. H. Suyari andM. Tsukada, Law of error in Tsallis statistics, IEEE Trans. Inform. Theory., vol.51, pp.753-757 (2005).
12. H. Suyari, Mathematical structure derived from the q-multinomial coefficient in Tsallis statistics, LANL e-print cond-mat/0401546.