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A key aim in biology and psychology is to identify fundamental principles underpinning the behavior of animals, including humans. Analyses of human language and the behavior of a range of non-human animal species have provided evidence for…

Neurons and Cognition · Quantitative Biology 2014-12-03 R. Ferrer-i-Cancho , A. Hernández-Fernández , D. Lusseau , G. Agoramoorthy , M. J. Hsu , S. Semple

Zipf's law predicts a power-law relationship between word rank and frequency in language communication systems and has been widely reported in a variety of natural language processing applications. However, the emergence of natural language…

Computation and Language · Computer Science 2018-12-05 Bohdan Khomtchouk , Shyam Sudhakaran

Human language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others,…

Physics and Society · Physics 2014-03-14 Ricard V. Solé , Luís F. Seoane

The analysis of thousands of time series in different languages reveals that word usage presents oscillations with a prevalence of 16-year cycles, mounted on slowly varying trends. These components carry different information: while similar…

Neurons and Cognition · Quantitative Biology 2022-07-20 Alejandro Pardo Pintos , Diego E Shalom , Enzo Tagliazucchi , Gabriel Mindlin , Marcos A Trevisan

One of the ultimate goals for linguists is to find universal properties in human languages. Although words are generally considered as representing arbitrary mapping between linguistic forms and meanings, we propose a new universal law that…

Computation and Language · Computer Science 2020-05-06 Li-Min Wang , Sun-Ting Tsai , Shan-Jyun Wu , Meng-Xue Tsai , Daw-Wei Wang , Yi-Ching Su , Tzay-Ming Hong

The word-frequency distribution provides the fundamental building blocks that generate discourse in language. It is well known, from empirical evidence, that the word-frequency distribution of almost any text is described by Zipf's law, at…

Physics and Society · Physics 2020-11-09 Alvaro Corral , Montserrat Garcia del Muro

The performance of deep learning in natural language processing has been spectacular, but the reasons for this success remain unclear because of the inherent complexity of deep learning. This paper provides empirical evidence of its…

Computation and Language · Computer Science 2018-02-07 Shuntaro Takahashi , Kumiko Tanaka-Ishii

We present a simple structure based model of how words are formed from morphemes. The model explains two major empirical facts: the typical distribution of word lengths and the appearance of Zipf like rank frequency curves. In contrast to…

Methodology · Statistics 2025-12-16 Vladimir Berman

The dependence with text length of the statistical properties of word occurrences has long been considered a severe limitation quantitative linguistics. We propose a simple scaling form for the distribution of absolute word frequencies…

Physics and Society · Physics 2015-06-15 Francesc Font-Clos , Gemma Boleda , Álvaro Corral

Human syntactic structures are usually represented as graphs. Much research has focused on the mapping between such graphs and linguistic sequences, but less attention has been paid to the shapes of the graphs themselves: their topologies.…

Computation and Language · Computer Science 2023-02-02 Fermín Moscoso del Prado Martín

We demonstrate that large texts, representing human (English, Russian, Ukrainian) and artificial (C++, Java) languages, display quantitative patterns characterized by the Benford-like and Zipf laws. The frequency of a word following the…

Computation and Language · Computer Science 2018-03-13 Evgeny Shulzinger , Irina Legchenkova , Edward Bormashenko

The task of text segmentation may be undertaken at many levels in text analysis---paragraphs, sentences, words, or even letters. Here, we focus on a relatively fine scale of segmentation, hypothesizing it to be in accord with a stochastic…

The evolution of natural languages poses a riddle to any theoretical perspective based on efficiency considerations. If languages are already optimally effective means of organization and communication of thought, why do they change? And if…

Neurons and Cognition · Quantitative Biology 2026-03-20 Hediye Yarahmadi , Kwang Il Ryom , Giuseppe Longobardi , Alessandro Treves

Zipf's law describes the empirical size distribution of the components of many systems in natural and social sciences and humanities. We show, by solving a statistical model, that Zipf's law co-occurs with the maximization of the diversity…

Statistical Mechanics · Physics 2021-10-05 Onofrio Mazzarisi , Amanda de Azevedo-Lopes , Jeferson J. Arenzon , Federico Corberi

In his pioneering research, G. K. Zipf observed that more frequent words tend to have more meanings, and showed that the number of meanings of a word grows as the square root of its frequency. He derived this relationship from two…

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho , Michael S. Vitevitch

What processes can explain how very large populations are able to converge on the use of a particular word or grammatical construction without global coordination? Answering this question helps to understand why new language constructs…

Physics and Society · Physics 2007-05-23 A. Baronchelli , M. Felici , E. Caglioti , V. Loreto , L. Steels

Zipf's law is a hallmark of several complex systems with a modular structure, such as books composed by words or genomes composed by genes. In these component systems, Zipf's law describes the empirical power law distribution of component…

Statistical Mechanics · Physics 2018-12-05 Andrea Mazzolini , Alberto Colliva , Michele Caselle , Matteo Osella

The review summarizes the main methodological concepts used in studying natural language from the perspective of complexity science and documents their applicability in identifying both universal and system-specific features of language in…

Physics and Society · Physics 2024-01-09 Tomasz Stanisz , Stanisław Drożdż , Jarosław Kwapień

We checked that the distribution of words in text should uniform, which gives Heaps' law as natural result, that is, the number of types of words can be expressed as a power law of the number of tokens within text. We developed a…

Physics and Society · Physics 2025-04-16 Kim Chol-jun

The frequency distributions of DNA k-mers are shaped by fundamental biological processes and offer a window into genome structure and evolution. Inspired by analogies to natural language, prior studies have attempted to model genomic k-mer…