Non extensive approach to the entropy of symbolic sequences

Physica A: Statistical Mechanics and its Applications

Volumn 268, Issue 1, 1999, Pages 214-224

  Buiatti, Marco ^a   Grigolini, Paolo ^a,b,c   Palatella, Luigi ^c  

^a CNR   (Italy)

^b UNIVERSITY OF NORTH TEXAS   (United States)

^c UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; PHASE TRANSITIONS; PROBABILITY DISTRIBUTIONS; REGRESSION ANALYSIS; STATISTICAL MECHANICS; THERMODYNAMICS;

KOLMOGOROV-SINAI-TSALLIS ENTROPY; SYMBOLIC SEQUENCES;

ENTROPY;

EID: 0032685911     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00062-X     Document Type: Article

References (44)

1. Anishchenko V.S., Ebeling W., Neiman A.B. Chaos, Soliton & Fractals. 4:1994;69.
2. Ebeling W. Physica A. 194:1993;563.
3. Ebeling W., Feistel R., Herzel H. Phys. Scripta. 35:1987;761.
4. Li W., Kaneko K. Europhys. Lett. 17:1992;655.
5. Herzel H., Ebeling W., Schmitt A.O. Phys. Rev. E. 50:1994;5061.
6. Schmitt A.O., Herzel H. J. Theor. Biol. 188:1997;369.
7. Liò P., Politi A., Buiatti M., Ruffo S. J. Theor. Biol. 180:1996;151.
8. Gaspard P., Wang X.-J. Proc. Nat. Acad. Sci. USA. 85:1988;4591.
9. Ebeling W., Nicolis G. Chaos, Solitons & Fractals. 2:1992;635.
10. Ebeling W., Nicolis G. Europhys. Lett. 14:1991;191.
11. Wang X.-J. Phys. Rev. A. 45:1992;8407.
12. Freund J. Phys. Rev. E. 53:1996;5793.
13. Freund J., Ebeling W., Rateitschack K. Phys. Rev. E. 54:1996;5561.
14. Szépfalusy P., Györgyi G. Phys. Rev. A. 33:1986;R2852.
15. C. Beck, F. Schlögl, Thermodynamics of Chaotic Systems, Cambridge University Press, Cambridge, 1993.
16. Kolmogorov A.N. Dok. Acad. Nauk. SSSR. 119:1958;861.
17. Sinai Ya.G. Dok. Acad. Nauk. SSSR. 124:1959;768.
18. Tsallis C. J. Stat. Phys. 52:1988;479.
19. L. Palatella, P. Grigolini, quant-ph / 9810083.
20. Tsallis C., Plastino A.R., Zheng W.-M. Chaos, Soliton & Fractals. 8:1997;885.
21. Ya.B. Pesin, Russian Math. Surveys (4) 32 (1977) 55.
22. P.A. Miller, S. Sarkar, chao-dyn / 9812003.
23. Allegrini P., Grigolini P., West B.J. Phys. Rev. E. 54:1996;4769.
24. J. Klafter, G. Zumofen, M.F. Shlesinger, Lecture Notes in Physics, vol. 457, Springer, Berlin, 1995, 183.
25. Allegrini P., Barbi M., Grigolini P., West B.J. Phys. Rev. E. 52:1995;5281.
26. Allegrini P., Grigolini P., West B.J. Phys. Lett. A. 211:1996;217.
27. Allegrini P., Buiatti M., Grigolini P., West B.J. Phys. Rev. E. 57:1998;4558.
28. Allegrini P., Buiatti M., Grigolini P., West B.J. Phys. Rev. E. 58:1998;3640.
29. Geisel T., Nierwetberg J., Zacherl A. Phys. Rev. Lett. 54:1985;616.
30. V.I. Arnold, A. Avez, Ergodic Problems of Classical Mechanics, Benjamin, New York, 1968.
31. P. Billinsley, Ergodic Theory and Information, Wiley, New York, 1965.
32. I.P. Cornfeld, S.V. Fomin, Ya.G. Sinai, Ergodic Theory, Springer, Berlin, 1982.
33. P. Lévy, Théorie de l'addition des variables aléatoires, Gauthier-Villars, Paris, 1937.
34. E.W. Montroll, M.F. Shlesinger, in: J.L. Lebowitz, E.W. Montroll (Eds.), Nonequilibrium Phenomena II: From Stochastic to Hydrodynamics, Studies in Statistical Mechanics, Vol. XI, North-Holland, Amsterdam, 1984.
35. Bettin R., Mannella R., West B.J., Grigolini P. Phys. Rev. E. 51:1995;212.
36. Trefán G., Floriani E., West B.J., Grigolini P. Phys. Rev. E. 50:1994;2564.
37. Mannella R., Grigolini P., West B.J. Fractals. 2:1994;81.
38. M. Buiatti, P. Grigolini, A. Montagnini, cond-mat / 9809108.
39. Alemany P.A., Zanette D.H. Phys. Rev. E. 49:1994;R956.
40. Zanette D.H., Alemany P.A. Phys. Rev. Lett. 75:1995;366.
41. C. Tsallis, S.V.F. Levy, A.M.C. Souza, R. Maynard, Phys. Rev. Lett. 75 (1995) 3859; Phys. Rev. Lett. 77 (1996) 5442 (Erratum).
42. C. Tsallis, S.V.F. Levy, A.M.C. Souza, R. Maynard, Phys. Rev. Lett. 75 (1995) 3859; Phys. Rev. Lett. 77 (1996) 5442 (Erratum).
43. Lyra M.L., Tsallis C. Phys. Rev. Lett. 80:1998;53.
44. Anteneodo C., Tsallis C. Phys. Rev. Lett. 80:1998;5313.