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

8th International Congress of Engineering Physics

物理学;工业技术

Quezada-González, J.^1 ; Aguilar-Velázquez, D.^1 ; Contreras-Uribe, T.^1 ; Obregón-Quintana, B.^2 ; Guzmán-Vargas, L.^1

Unidad Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, Av. IPN No. 2580, L. Ticomán, México, D.F.

07340, Mexico^1

Facultad de Ciencias, Universidad Nacional Autónoma de México, Circuito Exterior S/n, Ciudad Universitaria, Coyoacán, México, D.F.

04510, Mexico^2

关键词: Comparative studies;    Fractal exponents;    Fractal index;    Literary texts;    Positive correlations;    Power law scalings;    Scaling behavior;    Statistical tools;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/792/1/012076/pdf
DOI  :  10.1088/1742-6596/792/1/012076

学科分类：工业工程学

来源: IOP

【 摘 要 】

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.