A comparative study of power law scaling in large word-length sequences

J. Quezada-González, D. Aguilar-Velázquez, T. Contreras-Uribe, B. Obregón-Quintana, L. Guzmán-Vargas

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

A study of the correlation of lengths of words in large literary texts is presented. We use the statistical tools based on Allan factor and fractal dimension for estimating the fractal indices associated with the presence of correlations in the original sequences. We found that there is a scaling behavior at large scales for Allan factor with an exponent value, which reveals positive correlations. By means of the fractal dimension, we confirmed the presence of memory in the sequences of lengths of words. In addition, when considering a random rearrangement of the lengths of words in the original text, the fractal exponents are consistent with an uncorrelated process.

Original languageEnglish
Article number012076
JournalJournal of Physics: Conference Series
Volume792
Issue number1
DOIs
StatePublished - 8 Mar 2017
Event8th International Congress of Engineering Physics - Merida, Yucatan, Mexico
Duration: 7 Nov 201611 Nov 2016

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