Beyond the Zipf-Mandelbrot law in quantitative linguistics
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Publication:5947860
DOI10.1016/S0378-4371(01)00355-7zbMath0978.68126WikidataQ60479743 ScholiaQ60479743MaRDI QIDQ5947860
Publication date: 23 October 2001
Published in: Physica A (Search for Journal in Brave)
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Cites Work
- On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
- Possible generalization of Boltzmann-Gibbs statistics.
- Numerical Analysis of Word Frequencies in Artificial and Natural Language Texts
- Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf