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Over the past two centuries, the frequency of word usage in major Western languages has exhibited small amplitude regular cycles, superimposed on larger background trends. We show that these cycles of word usage organize into semantically…

Physics and Society · Physics 2026-05-01 Alejandro Pardo Pintos , Diego E Shalom , Guillermo Cecchi , Gabriel Mindlin , Marcos A Trevisan

Cycles of word usage have been described using an integro-differential Volterra model close to a Hopf bifurcation. Here we transform this system to a phase model, which allows us to phase-couple the words and address the observation of…

Physics and Society · Physics 2026-05-01 Alejandro Pardo Pintos , Diego Shalom , Enzo Tagliazucchi , Gabriel Mindlin , Marcos Trevisan

We analyze the dynamic properties of 10^7 words recorded in English, Spanish and Hebrew over the period 1800--2008 in order to gain insight into the coevolution of language and culture. We report language independent patterns useful as…

Physics and Society · Physics 2012-03-16 Alexander M. Petersen , Joel Tenenbaum , Shlomo Havlin , H. Eugene Stanley

The word-stock of a language is a complex dynamical system in which words can be created, evolve, and become extinct. Even more dynamic are the short-term fluctuations in word usage by individuals in a population. Building on the recent…

Physics and Society · Physics 2013-04-09 Eduardo G. Altmann , Zakary L. Whichard , Adilson E. Motter

Zipf's law has been found in many human-related fields, including language, where the frequency of a word is persistently found as a power law function of its frequency rank, known as Zipf's law. However, there is much dispute whether it is…

Computation and Language · Computer Science 2018-07-06 Shuiyuan Yu , Chunshan Xu , Haitao Liu

Statistical regularities in human language have fascinated researchers for decades, suggesting deep underlying principles governing its evolution and information structuring for efficient communication. While Zipf's Law describes the…

Physics and Society · Physics 2025-04-29 Alessandro Bellina , Vito D. P. Servedio

Background: Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems perspective on human communication.…

Computation and Language · Computer Science 2009-11-11 Eduardo G. Altmann , Janet B. Pierrehumbert , Adilson E. Motter

Languages vary considerably in syntactic structure. About 40% of the world's languages have subject-verb-object order, and about 40% have subject-object-verb order. Extensive work has sought to explain this word order variation across…

Computation and Language · Computer Science 2022-06-10 Michael Hahn , Yang Xu

It is generally believed that, when a linguistic item acquires a new meaning, its overall frequency of use in the language rises with time with an S-shaped growth curve. Yet, this claim has only been supported by a limited number of case…

Physics and Society · Physics 2017-12-04 Quentin Feltgen , Benjamin Fagard , Jean-Pierre Nadal

Languages emerge and change over time at the population level though interactions between individual speakers. It is, however, hard to directly observe how a single speaker's linguistic innovation precipitates a population-wide change in…

Computation and Language · Computer Science 2021-06-04 Richard A Blythe , William Croft

To uncover underlying mechanism of collective human dynamics, we survey more than 1.8 billion blog entries and observe the statistical properties of word appearances. We focus on words that show dynamic growth and decay with a tendency to…

Physics and Society · Physics 2015-03-19 Yukie Sano , Kenta Yamada , Hayafumi Watanabe , Hideki Takayasu , Misako Takayasu

Of basic interest is the quantification of the long term growth of a language's lexicon as it develops to more completely cover both a culture's communication requirements and knowledge space. Here, we explore the usage dynamics of words in…

Computation and Language · Computer Science 2017-03-27 Eitan Adam Pechenick , Christopher M. Danforth , Peter Sheridan Dodds

The availability of large diachronic corpora has provided the impetus for a growing body of quantitative research on language evolution and meaning change. The central quantities in this research are token frequencies of linguistic elements…

Computation and Language · Computer Science 2020-06-17 Andres Karjus , Richard A. Blythe , Simon Kirby , Kenny Smith

Oscillations are observed in all branches of science and culture, ranging from the behavior of ele-mentary particles, atoms, molecules in simple chemical or physical systems or even in complex organisms, up to oscillations of the behavior…

Physics and Society · Physics 2023-09-27 Joachim Maier

One of the most intriguing features of language is its constant change, with ongoing shifts in how meaning is expressed. Despite decades of research, the factors that determine how and why meanings evolve remain only partly understood.…

Computation and Language · Computer Science 2025-10-16 Kim Gfeller , Sabine Stoll , Chundra Cathcart , Paul Widmer

We analyze the occurrence frequencies of over 15 million words recorded in millions of books published during the past two centuries in seven different languages. For all languages and chronological subsets of the data we confirm that two…

Physics and Society · Physics 2012-12-12 Alexander M. Petersen , Joel N. Tenenbaum , Shlomo Havlin , H. Eugene Stanley , Matjaz Perc

The inverse relationship between the length of a word and the frequency of its use, first identified by G.K. Zipf in 1935, is a classic empirical law that holds across a wide range of human languages. We demonstrate that length is one…

Computation and Language · Computer Science 2017-06-02 Stephan C. Meylan , Thomas L. Griffiths

Quantitative linguistics has provided us with a number of empirical laws that characterise the evolution of languages and competition amongst them. In terms of language usage, one of the most influential results is Zipf's law of word…

Physics and Society · Physics 2009-01-21 Alvaro Corral , Ramon Ferrer-i-Cancho , Gemma Boleda , Albert Diaz-Guilera , .

Methods and insights from statistical physics are finding an increasing variety of applications where one seeks to understand the emergent properties of a complex interacting system. One such area concerns the dynamics of language at a…

Physics and Society · Physics 2015-11-13 Richard A. Blythe

The recent dramatic increase in online data availability has allowed researchers to explore human culture with unprecedented detail, such as the growth and diversification of language. In particular, it provides statistical tools to explore…

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