On the Kolmogorov-like generalization of Tsallis entropy, correlation entropies and multifractal analysis

Journal of Mathematical Physics

Volumn 43, Issue 2, 2002, Pages 904-917

  Mesón, Alejandro M ^a   Vericat, Fernando ^a  

^a UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981896     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1429323     Document Type: Article

References (24)

1. C.E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).
2. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 119, 861 (1958).
3. A. Renyi, Probability Theory (North Holland, Amsterdam, 1970).
4. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
5. Nonextensive Statistical Mechanics and its Applications, edited by S. Abe and Y. Okamoto, Lecture Notes in Physics (Springer-Verlag, New York, 2001).
6. A.R. Plastino and A. Plastino, Phys. Lett. A 174, 384 (1993).
7. A.K. Rajagopal, Phys. Rev. Lett. 76, 3469 (1996).
8. D.H. Zanette and P.A. Alemany, Phys. Rev. Lett. 75, 366 (1995).
9. B.M. Bhogosian, Phys. Rev. E 53, 4754 (1996).
10. A.M. Mesón and F. Vericat, J. Math. Phys. 37, 4480 (1996).
11. Y. Sinai, Sov. Math. Dokl. 3, 1725 (1962).
12. F. Takens and E. Verbiski, Nonlinearity 11, 771 (1998).
13. M. Brin and A. Katok, in Geometric Dynamics, Lecture Notes in Mathematics 1007 (Springer, New York, 1983).
14. M. Pollicott and M. Jury, Dynamical Systems and Ergodic Theory, London Math. Soc. Vol. 40 (1998).
15. H.L. Royden, Real Analysis (McMillan, New York, 1968).
16. P. Walters, An Introduction to Ergodic Theory (Springer-Verlag, Berlin, 1982).
17. A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems (Cambridge University Press, Cambridge, 1995).
18. H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory (Princeton University Presss, Princeton, NJ, 1981).
19. T.C. Halsey, M. Jensen, L. Kadanoff, I. Procaccia, and B. Shraiman, Phys. Rev. A 33, 1141 (1986).
20. L. Barreira, Y. Pesin, and J. Schmeling, Chaos 7, 27 (1997).
21. F. Takens and E. Verbitski, Commun. Math. Phys. 203, 593 (1999).
22. R. Bowen, Trans. Am. Math. Soc. 154, 377 (1971).
23. D. Ruelle, Thermodynamic Formalism, Encyclopedia of Mathematics (Addison-Wesley, Reading, MA, 1978).
24. G.A. Raggio, J. Math. Phys. 36, 4785 (1995).