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Ferrer-i-Cancho, R. and Sole, R. V. (2002) Zipf's law and random texts. Advances in Complex Systems, 5(1):1--6.
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Abstract

Random-text models have been proposed as an explanation for the power law relationship between word frequency and rank, the so-called Zipf's law. They are generally regarded as null hypotheses rather than models in the strict sense. In this context, recent theories of language emergence and evolution assume this law as a priori information with no need of explanation. Here, random texts and real texts are compared through (a) the so-called lexical spectrum and (b) the distribution of words having the same length. It is shown that real texts fill the lexical spectrum much more efficiently and regardless of the word length, suggesting that the meaningfulness of Zipf's law is high.

Keywords: Human language; scaling; Zipf's law; monkey languages; random texts

BibTex
@article{ferrer02zipf,
  author={Ramon {Ferrer-i-Cancho} and Ricard V. Sole},
  title={Zipf's law and random texts},
  journal={Advances in Complex Systems},
  year={2002},
  volume={5},
  number={1},
  pages={1-6},
  doi={10.1142/S0219525902000468},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/ferrer02zipf.html},
  keywords={Human language; scaling; Zipf's law; monkey languages; random texts}
}


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