Physics – Data Analysis – Statistics and Probability
Scientific paper
2004-02-07
Physics
Data Analysis, Statistics and Probability
7 pages, 7 figures, Submitted to Physica A
Scientific paper
10.1103/PhysRevE.72.026140
A theory of additive Markov chains with long-range memory is used for description of correlation properties of coarse-grained literary texts. The complex structure of the correlations in texts is revealed. Antipersistent correlations at small distances, L < 300, and persistent ones at L > 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.
Golick V. A.
Mel'nyk S. S.
Usatenko O. V.
Yampol'skii V. A.
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