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Using human evaluation of 100,000 words spread across 24 corpora in 10 languages diverse in origin and culture, we present evidence of a deep imprint of human sociality in language, observing that (1) the words of natural human language…

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

As early indicated by Charles Darwin, languages behave and change very much like living species. They display high diversity, differentiate in space and time, emerge and disappear. A large body of literature has explored the role of…

Populations and Evolution · Quantitative Biology 2010-04-27 Ricard V. Solé , Bernat Corominas-Murtra , Jordi Fortuny

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…

The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

History-dependent processes are ubiquitous in natural and social systems. Many such stochastic processes, especially those that are associated with complex systems, become more constrained as they unfold, meaning that their sample-space, or…

Physics and Society · Physics 2015-04-16 Bernat Corominas-Murtra , Rudolf Hanel , Stefan Thurner

The avoidability, or unavoidability of patterns in words over finite alphabets has been studied extensively. A word (pattern) over a finite set is said to be unavoidable if, for all but finitely many words, there exists a morphism mapping…

Formal Languages and Automata Theory · Computer Science 2019-07-16 Paul Sauer

The prevailing maximum likelihood estimators for inferring power law models from rank-frequency data are biased. The source of this bias is an inappropriate likelihood function. The correct likelihood function is derived and shown to be…

Applications · Statistics 2021-07-27 Charlie Pilgrim , Thomas T Hills

Why does Zipf's law give a good description of data from seemingly completely unrelated phenomena? Here it is argued that the reason is that they can all be described as outcomes of a ubiquitous random group division: the elements can be…

Physics and Society · Physics 2015-03-19 Seung Ki Baek , Sebastian Bernhardsson , Petter Minnhagen

Human languages employ constructions that tacitly assume specific properties of the limited range of phenomena they evolved to describe. These assumed properties are true features of that limited context, but may not be general or precise…

Quantum Physics · Physics 2008-11-26 James B. Hartle

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

Scientific cooperation on an international level has been well studied in the literature. However, much less is known about this cooperation on the intercontinental level. In this paper, we address this issue by creating a collection of…

Digital Libraries · Computer Science 2023-11-28 Malgorzata J. Krawczyk , Krzysztof Malarz

Many languages' inflectional morphological systems are replete with irregulars, i.e., words that do not seem to follow standard inflectional rules. In this work, we quantitatively investigate the conditions under which irregulars can…

Computation and Language · Computer Science 2018-04-24 Ryan Cotterell , Christo Kirov , Mans Hulden , Jason Eisner

Word class flexibility refers to the phenomenon whereby a single word form is used across different grammatical categories. Extensive work in linguistic typology has sought to characterize word class flexibility across languages, but…

Computation and Language · Computer Science 2020-09-22 Bai Li , Guillaume Thomas , Yang Xu , Frank Rudzicz

The article introduces corrections to Zipf's and Heaps' laws based on systematic models of the proportion of hapaxes, i.e., words that occur once. The derivation rests on two assumptions: The first one is the standard urn model which…

Computation and Language · Computer Science 2025-05-27 Łukasz Dębowski

The problem of compression in standard information theory consists of assigning codes as short as possible to numbers. Here we consider the problem of optimal coding -- under an arbitrary coding scheme -- and show that it predicts Zipf's…

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho , Christian Bentz , Caio Seguin

We study the relationship between vocabulary size and text length in a corpus of $75$ literary works in English, authored by six writers, distinguishing between the contributions of three grammatical classes (or ``tags,'' namely, {\it…

Computation and Language · Computer Science 2020-01-08 Andrés Chacoma , Damián H. Zanette

The distribution of frequency counts of distinct words by length in a language's vocabulary will be analyzed using two methods. The first, will look at the empirical distributions of several languages and derive a distribution that…

Computation and Language · Computer Science 2012-07-17 Reginald D. Smith

Language similarities can be caused by genetic relatedness, areal contact, universality, or chance. Colexification, i.e. a type of similarity where a single lexical form is used to convey multiple meanings, is underexplored. In our work, we…

Computation and Language · Computer Science 2024-01-08 Yiyi Chen , Johannes Bjerva

The tremendous popular success of Chaos Theory shares some common points with the not less fortunate Relativity: they both rely on a misunderstanding. Indeed, ironically , the scientific meaning of these terms for mathematicians and…

Popular Physics · Physics 2016-02-09 Amaury Mouchet