Fractal binary sequences: Tsallis thermodynamics and the Zipf law

被引：32

作者：

Denisov, S

机构：

[1] Department of Mathematics, Inst. of Electromagnetic Research, 310022 Kharkov

来源：

PHYSICS LETTERS A | 1997年 / 235卷 / 05期

关键词：

D O I：

10.1016/S0375-9601(97)00688-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is pointed out that the generalized thermodynamics introduced by Tsallis [J. Stat. Phys. 52 (1988) 479] provides a natural frame for the extension of the thermodynamical formalism of symbolic dynamics. The statistical structure of 1D fractal long-range correlation sequences is investigated using an n-tuple Zipf analysis. The generalized form of the Zipf-Mandelbrot law can be obtained using the maximum entropy principle within the frame of Tsallis thermodynamics, with the Zipf exponent xi = 1/(q - 1) where q is the entropic index, if the frequency of a word is associated with the probability and the rank with the energy. (C) 1997 Published by Elsevier Science B.V.

引用

页码：447 / 451

页数：5

共 32 条

[1] ALEMANY PA, 1994, PHYS REV E, V49, P956
[2] LANGUAGE AND CODIFICATION DEPENDENCE OF LONG-RANGE CORRELATIONS IN TEXTS
Amit, M.
Shmerler, Y.
Eisenberg, E.
Abraham, M.
Shnerb, N.
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1994, 2 (01) : 7 - 13
[3] BAK P, 1995, P NATL ACAD SCI USA, V92, P6693
[4] ANOMALOUS DIFFUSION IN DISORDERED MEDIA - STATISTICAL MECHANISMS, MODELS AND PHYSICAL APPLICATIONS
BOUCHAUD, JP
GEORGES, A
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 195 (4-5): : 127 - 293
[5] BOWEN R, 1975, LECT NOTES MATH, V470, P1
[6] Thermodynamics of anomalous diffusion - Comment
Caceres, MO
Budde, CE
[J]. PHYSICAL REVIEW LETTERS, 1996, 77 (12) : 2589 - 2589
[7] CURADO EME, 1991, J PHYS A-MATH GEN, V24, P3187
[8] GENERALIZED STATISTICAL-MECHANICS - CONNECTION WITH THERMODYNAMICS
CURADO, EMF
TSALLIS, C
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (02): : L69 - L72
[9] CURADO EMF, 1992, J PHYS A-MATH GEN, V25, P1019, DOI 10.1088/0305-4470/25/4/038
[10] CORRELATIONS IN BINARY SEQUENCES AND A GENERALIZED ZIPF ANALYSIS
CZIROK, A
MANTEGNA, RN
HAVLIN, S
STANLEY, HE
[J]. PHYSICAL REVIEW E, 1995, 52 (01): : 446 - 452

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