Competition between Two Kinds of Correlations in Literary Texts
Data Analysis, Statistics and Probability
2009-11-10 v2 General Physics
Abstract
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.
Cite
@article{arxiv.physics/0402042,
title = {Competition between Two Kinds of Correlations in Literary Texts},
author = {S. S. Melnyk and O. V. Usatenko and V. A. Yampol'skii and V. A. Golick},
journal= {arXiv preprint arXiv:physics/0402042},
year = {2009}
}
Comments
7 pages, 7 figures, Submitted to Physica A