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arXiv · 0906.0716

Size dependent word frequencies and translational invariance of books

Sebastian Bernhardsson·Luis Enrique Correa da Rocha·Petter Minnhagen
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Abstract

It is shown that a real novel shares many characteristic features with a null model in which the words are randomly distributed throughout the text. Such a common feature is a certain translational invariance of the text. Another is that the functional form of the word-frequency distribution of a novel depends on the length of the text in the same way as the null model. This means that an approximate power-law tail ascribed to the data will have an exponent which changes with the size of the text-section which is analyzed. A further consequence is that a novel cannot be described by text-evolution models like the Simon model. The size-transformation of a novel is found to be well described by a specific Random Book Transformation. This size transformation in addition enables a more precise determination of the functional form of the word-frequency distribution. The implications of the results are discussed.

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Sebastian Bernhardsson, Luis Enrique Correa da Rocha, Petter Minnhagen. 2009-06-03. Size dependent word frequencies and translational invariance of books. https://doi.org/10.1016/j.physa.2009.09.022

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