ENTROPY - TRANSINFORMATION AND WORD DISTRIBUTION OF INFORMATION-CARRYING SEQUENCES

被引:33
作者
EBELING, W [1 ]
POSCHEL, T [1 ]
ALBRECHT, KF [1 ]
机构
[1] FORSCHUNGSZENTRUM JULICH, RES CTR, D-52425 JULICH, GERMANY
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1995年 / 5卷 / 01期
关键词
D O I
10.1142/S0218127495000041
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate correlations in information carriers, e.g. texts and pieces of music, which are represented by strings of letters. For information carrying strings generated by one source (i.e. a novel or a piece of music) we find correlations on many length scales. The word distribution, the higher order entropy and the transinformation are calculated. The analogy to strings generated through symbolic dynamics by nonlinear systems in critical states is discussed.
引用
收藏
页码:51 / 61
页数:11
相关论文
共 31 条
[21]  
LEVITIN LB, 1993, IN PRESS CHAOS SOLIT
[22]   MUTUAL INFORMATION FUNCTIONS VERSUS CORRELATION-FUNCTIONS [J].
LI, WT .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :823-837
[23]   THE BASIC THEOREMS OF INFORMATION THEORY [J].
MCMILLAN, B .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (02) :196-219
[24]  
NICOLIS JS, 1992, STUDIES NONLINEARITY
[25]  
NICOLIS JS, 1991, CHAOS INFORMATION PR
[26]   FINITE-SIZE EFFECTS ON LONG-RANGE CORRELATIONS - IMPLICATIONS FOR ANALYZING DNA-SEQUENCES [J].
PENG, CK ;
BULDYREV, SV ;
GOLDBERGER, AL ;
HAVLIN, S ;
SIMONS, M ;
STANLEY, HE .
PHYSICAL REVIEW E, 1993, 47 (05) :3730-3733
[27]   LONG-RANGE CORRELATIONS IN NUCLEOTIDE-SEQUENCES [J].
PENG, CK ;
BULDYREV, SV ;
GOLDBERGER, AL ;
HAVLIN, S ;
SCIORTINO, F ;
SIMONS, M ;
STANLEY, HE .
NATURE, 1992, 356 (6365) :168-170
[28]  
POSCHEL T, 1994, ITP305 HUMB U PREPR
[29]  
SCHENKEL A, 1993, FRACTALS, V1, P7
[30]   A NEW METHOD TO CALCULATE HIGHER-ORDER ENTROPIES FROM FINITE SAMPLES [J].
SCHMITT, AO ;
HERZEL, H ;
EBELING, W .
EUROPHYSICS LETTERS, 1993, 23 (05) :303-309