Competition between two kinds of correlations in literary texts

S. S. Melnyk, O. V. Usatenko, V. A. Yampol’skii, and V. A. Golick
Phys. Rev. E 72, 026140 – Published 31 August 2005

Abstract

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, L300, and persistent ones at L300 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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  • Received 6 February 2004

DOI:https://doi.org/10.1103/PhysRevE.72.026140

©2005 American Physical Society

Authors & Affiliations

S. S. Melnyk, O. V. Usatenko, and V. A. Yampol’skii*

  • A. Ya. Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 12 Proskura Street, 61085 Kharkov, Ukraine

V. A. Golick

  • Academic Gymnasium No 45, 46-a Tobolskaya Street, Kharkov, Ukraine

  • *Electronic address: yam@ire.kharkov.ua

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Issue

Vol. 72, Iss. 2 — August 2005

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