dorsal/arxiv
View SchemaCompetition between Two Kinds of Correlations in Literary Texts
| Authors | S. S. Melnyk, O. V. Usatenko, V. A. Yampol'skii, V. A. Golick |
|---|---|
| Categories | |
| ArXiv ID | physics/0402042 |
| URL | https://arxiv.org/abs/physics/0402042 |
| DOI | 10.1103/PhysRevE.72.026140 |
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.
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"abstract": "A theory of additive Markov chains with long-range memory is used for\ndescription of correlation properties of coarse-grained literary texts. The\ncomplex structure of the correlations in texts is revealed. Antipersistent\ncorrelations at small distances, L \u003c 300, and persistent ones at L \u003e 300 define\nthis nontrivial structure. For some concrete examples of literary texts, the\nmemory functions are obtained and their power-law behavior at long distances is\ndisclosed. This property is shown to be a cause of self-similarity of texts\nwith respect to the decimation procedure.",
"arxiv_id": "physics/0402042",
"authors": [
"S. S. Melnyk",
"O. V. Usatenko",
"V. A. Yampol\u0027skii",
"V. A. Golick"
],
"categories": [
"physics.data-an",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevE.72.026140",
"title": "Competition between Two Kinds of Correlations in Literary Texts",
"url": "https://arxiv.org/abs/physics/0402042"
},
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