Paper
Competition between Two Kinds of Correlations in Literary Texts
Authors
S. S. Melnyk, O. V. Usatenko, V. A. Yampol'skii, V. A. Golick
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.