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1
Random matrices applications to soft spectra ...
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2
Relating Zipf's law to textual information ...
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3
Stochastic model for phonemes uncovers an author-dependency of their usage ...
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4
On the ranking property and underlying dynamics of complex systems ; Sur la propriété classement et dynamique sous-jacente des systèmes complexes
Deng, Weibing. - : HAL CCSD, 2013
In: https://tel.archives-ouvertes.fr/tel-00839310 ; Other [cond-mat.other]. Université du Maine, 2013. English. ⟨NNT : 2013LEMA1010⟩ (2013)
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Explaining Zipf's Law via Mental Lexicon ...
Abstract: The Zipf's law is the major regularity of statistical linguistics that served as a prototype for rank-frequency relations and scaling laws in natural sciences. Here we show that the Zipf's law -- together with its applicability for a single text and its generalizations to high and low frequencies including hapax legomena -- can be derived from assuming that the words are drawn into the text with random probabilities. Their apriori density relates, via the Bayesian statistics, to general features of the mental lexicon of the author who produced the text. ...
Keyword: Computation and Language cs.CL; Data Analysis, Statistics and Probability physics.data-an; FOS Computer and information sciences; FOS Physical sciences; Statistical Mechanics cond-mat.stat-mech
URL: https://dx.doi.org/10.48550/arxiv.1302.4383
https://arxiv.org/abs/1302.4383
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