Competition between two kinds of correlations in literary texts

被引:26
作者
Melnyk, SS
Usatenko, OV
Yampol'skii, VA
Golick, VA
机构
[1] Ukrainian Acad Sci, A Ya Usikov Inst Radiophys & Elect, UA-61085 Kharkov, Ukraine
[2] Acad Gymnasium 45, Kharkov, Ukraine
来源
PHYSICAL REVIEW E | 2005年 / 72卷 / 02期
关键词
D O I
10.1103/PhysRevE.72.026140
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A theory of additive Markov chains with long-range memory is used to describe the correlation properties of coarse-grained literary texts. The complex structure of the correlations in the texts is revealed. Antipersistent correlations at small distances, L less than or similar to 300, and persistent ones at L greater than or similar to 300 define this nontrivial structure. For some concrete examples of literary texts, the memory functions are obtained and their power-law behavior at long distances is disclosed. This property is shown to be a cause of self-similarity of texts with respect to the decimation procedure.
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页数:7
相关论文
共 29 条
[1]  
[Anonymous], 2000, COMPLEX INT
[2]   Dynamical correlations [J].
Balucani, U ;
Lee, MH ;
Tognetti, V .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2003, 373 (06) :409-492
[3]   LONG-RANGE CORRELATION-PROPERTIES OF CODING AND NONCODING DNA-SEQUENCES - GENBANK ANALYSIS [J].
BULDYREV, SV ;
GOLDBERGER, AL ;
HAVLIN, S ;
MANTEGNA, RN ;
MATSA, ME ;
PENG, CK ;
SIMONS, M ;
STANLEY, HE .
PHYSICAL REVIEW E, 1995, 51 (05) :5084-5091
[4]   Long term persistence in the atmosphere: global laws and tests of climate models [J].
Bunde, A ;
Havlin, S ;
Koscielny-Bunde, E ;
Schellnhuber, HJ .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 302 (1-4) :255-267
[5]   CORRELATIONS IN BINARY SEQUENCES AND A GENERALIZED ZIPF ANALYSIS [J].
CZIROK, A ;
MANTEGNA, RN ;
HAVLIN, S ;
STANLEY, HE .
PHYSICAL REVIEW E, 1995, 52 (01) :446-452
[6]  
EBELING W, CONDMAT0204076
[7]   Prokaryotic phylogeny based on complete genomes without sequence alignment [J].
Hao, BL ;
Qi, J ;
Wang, B .
MODERN PHYSICS LETTERS B, 2003, 17 (03) :91-94
[8]   RANDOM MULTIPLICATIVE PROCESSES AND TRANSPORT IN STRUCTURES WITH CORRELATED SPATIAL DISORDER [J].
HAVLIN, S ;
SELINGER, RB ;
SCHWARTZ, M ;
STANLEY, HE ;
BUNDE, A .
PHYSICAL REVIEW LETTERS, 1988, 61 (13) :1438-1441
[9]  
Hod S, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.015104
[10]   Mobility edge in aperiodic Kronig-Penney potentials with correlated disorder: Perturbative approach [J].
Izrailev, FM ;
Krokhin, AA ;
Ulloa, SE .
PHYSICAL REVIEW B, 2001, 63 (04)