Symbolic Sequences and Tsallis Entropy

被引：5

作者：

Ribeiro, H. V. ^{[1
,2
]}

Lenzi, E. K. ^{[1
,2
]}

Mendes, R. S. ^{[1
,2
]}

Mendes, G. A. ^{[3
,4
]}

da Silva, L. R. ^{[3
,4
]}

机构：

[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil

[2] Univ Estadual Maringa, Natl Inst Sci & Technol Complex Syst, BR-87020900 Maringa, Parana, Brazil

[3] Univ Fed Rio Grande do Norte, Dept Fis, BR-59072970 Natal, RN, Brazil

[4] Univ Fed Rio Grande do Norte, Natl Inst Sci & Technol Complex Syst, BR-59072970 Natal, RN, Brazil

来源：

BRAZILIAN JOURNAL OF PHYSICS | 2009年 / 39卷 / 2A期

关键词：

Symbolic sequences; Long-range correlations; Tsallis entropy; Non-usual diffusion; LONG-RANGE CORRELATIONS; DYNAMICS;

D O I：

10.1590/S0103-97332009000400018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We address this work to investigate symbolic sequences with long-range correlations by using computational simulation. We analyze sequences with two, three and four symbols that could be repeated l times, with the probability distribution p(l) proportional to 1/l(mu). For these sequences, we verified that the usual entropy increases more slowly when the symbols are correlated and the Tsallis entropy exhibits, for a suitable choice of q, a linear behavior. We also study the chain as a random walk-like process and observe a nonusual diffusive behavior depending on the values of the parameter mu.

引用

页码：444 / 447

页数：4

共 50 条

[41] Microcanonical equations obtained from the Tsallis entropy
Carrete, J.
Varela, L. M.
Gallego, L. J.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (27) : 6752 - 6758
[42] Pattern Recognition via PCNN and Tsallis Entropy
Zhang, YuDong
Wu, LeNan
SENSORS, 2008, 8 (11): : 7518 - 7529
[43] TSALLIS ENTROPY BASED CONTRAST ENHANCEMENT OF MICROCALCIFICATIONS
Mohanalin, J.
Kalra, Prem Kumar
Kumar, Nirmal
PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON SIGNAL ACQUISITION AND PROCESSING, 2009, : 3 - +
[44] Tsallis entropy of dynamical systems - a general scheme
Ebrahimzadeh, Abolfazl
Giski, Zahra Eslami
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (01) : 1119 - 1126
[45] A quantile approach of Tsallis entropy for order statistics
Kumar, Vikas
Rekha
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 503 : 916 - 928
[46] Distributivity and deformation of the reals from Tsallis entropy
Kalogeropoulos, Nikos
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (04) : 1120 - 1127
[47] Further Properties of Tsallis Entropy and Its Application
Alomani, Ghadah
Kayid, Mohamed
ENTROPY, 2023, 25 (02)
[48] Generalized uncertainty relations of Tsallis entropy on FrFT
Xu Guanlei
Xu Xiaogang
Wang Xiaotong
Signal, Image and Video Processing, 2021, 15 : 9 - 16
[49] Generalized Maxwell Distribution in the Tsallis Entropy Formalism
Bakiev, T. N.
Nakashidze, D. V.
Savchenko, A. M.
Semenov, K. M.
MOSCOW UNIVERSITY PHYSICS BULLETIN, 2022, 77 (05) : 728 - 740
[50] Friedmann equations with the generalized logarithmic modification of Barrow entropy and Tsallis entropy
Mohammadi, H.
Salehi, A.
PHYSICS LETTERS B, 2023, 839

← 1 2 3 4 5 →