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Deviation of Zipf’s and Heaps’ laws in human languages with limited dictionary sizes

Lü, Linyuan ; Zhang, Zi-Ke ; Zhou, Tao

In: Scientific Reports, 2013, vol. 3, p. -

Zipf's law on word frequency and Heaps' law on the growth of distinct words are observed in Indo-European language family, but it does not hold for languages like Chinese, Japanese and Korean. These languages consist of characters, and are of very limited dictionary sizes. Extensive experiments show that: (i) The character frequency distribution follows a power law with exponent close to one, at...