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Volumn 50, Issue 8, 2004, Pages 1783-1787

Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STATISTICAL MECHANICS; THEOREM PROVING;

EID: 3943050051     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.831749     Document Type: Article
Times cited : (83)

References (19)
  • 1
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • C. Tsallis, "Possible generalization of Boltzmann-Gibbs statistics," J. Statist. Phys., vol. 52, pp. 479-487, 1988.
    • (1988) J. Statist. Phys. , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 2
    • 36149028516 scopus 로고
    • Generalized statistical mechanics: Connection with thermodynamics
    • E. M. F. Curado and C. Tsallis, "Generalized statistical mechanics: Connection with thermodynamics," J. Phys. A, vol. 24, pp. L69-L72, 1991.
    • (1991) J. Phys. A , vol.24
    • Curado, E.M.F.1    Tsallis, C.2
  • 4
    • 0042128380 scopus 로고    scopus 로고
    • Power-law sensitivity to initial conditions - New entropic representation
    • June
    • C. Tsallis, A. R. Plastino, and W.-M. Zheng, "Power-law sensitivity to initial conditions - New entropic representation," Chaos, Solitons and Fractals, vol. 8, pp. 885-891, June 1997.
    • (1997) Chaos, Solitons and Fractals , vol.8 , pp. 885-891
    • Tsallis, C.1    Plastino, A.R.2    Zheng, W.-M.3
  • 5
    • 5244330583 scopus 로고    scopus 로고
    • Power-law sensitivity to initial conditions within a logistic-like family of maps: Fractality and nonextensivity
    • July
    • U. M. S. Costa, M. L. Lyra, A. R. Plastino, and C. Tsallis, "Power-law sensitivity to initial conditions within a logistic-like family of maps: Fractality and nonextensivity," Phys. Rev. E, vol. 56, pp. 245-250, July 1997.
    • (1997) Phys. Rev. E , vol.56 , pp. 245-250
    • Costa, U.M.S.1    Lyra, M.L.2    Plastino, A.R.3    Tsallis, C.4
  • 6
    • 0032484444 scopus 로고    scopus 로고
    • Nonextensivity and multifractality in low-dimensional dissipative systems
    • Jan
    • M. L. Lyra and C. Tsallis, "Nonextensivity and multifractality in low-dimensional dissipative systems," Phys. Rev. Lett., vol. 80, pp. 53-56, Jan. 1998.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 53-56
    • Lyra, M.L.1    Tsallis, C.2
  • 7
    • 0031528791 scopus 로고    scopus 로고
    • Generalization of Shannon's theorem for Tsallis entropy
    • R. J. V. dos Santos, "Generalization of Shannon's theorem for Tsallis entropy," J. Math. Phys., vol. 38, pp. 4104-4107, 1997.
    • (1997) J. Math. Phys. , vol.38 , pp. 4104-4107
    • dos Santos, R.J.V.1
  • 8
    • 0034686170 scopus 로고    scopus 로고
    • Axioms and uniqueness theorem for Tsallis entropy
    • S. Abe, "Axioms and uniqueness theorem for Tsallis entropy," Phys. Lett. A, vol. 271, pp. 74-79, 2000.
    • (2000) Phys. Lett. A , vol.271 , pp. 74-79
    • Abe, S.1
  • 11
    • 0002453010 scopus 로고
    • Quantication method of classication processes: Concept of structural α-entropy
    • J. H. Havrda and F. Charvat, "Quantication method of classication processes: Concept of structural α-entropy," Kybernetika, vol. 3, pp. 30-35, 1967.
    • (1967) Kybernetika , vol.3 , pp. 30-35
    • Havrda, J.H.1    Charvat, F.2
  • 12
    • 0014747331 scopus 로고
    • Generalized information functions
    • Z. Daróczi, "Generalized information functions," Inform. Contr., vol. 16, pp. 36-51, 1970.
    • (1970) Inform. Contr. , vol.16 , pp. 36-51
    • Daróczi, Z.1
  • 13
    • 0037147349 scopus 로고    scopus 로고
    • On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
    • H. Suyari, "On the most concise set of axioms and the uniqueness theorem for Tsallis entropy," J. Phys. A., vol. 35, pp. 10731-10738, 2002.
    • (2002) J. Phys. A. , vol.35 , pp. 10731-10738
    • Suyari, H.1
  • 16
    • 45849155283 scopus 로고    scopus 로고
    • Nonextensive entropies derived from form invariance of pseudoadditivity
    • H. Suyari, "Nonextensive entropies derived from form invariance of pseudoadditivity," Phys. Rev. E., vol. 65, pp. 066118-066118, 2002.
    • (2002) Phys. Rev. E. , vol.65 , pp. 066118-066118
    • Suyari, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.