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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

Zipf's law states that if words of language are ranked in the order of decreasing frequency in texts, the frequency of a word is inversely proportional to its rank. It is very robust as an experimental observation, but to date it escaped…

Computation and Language · Computer Science 2009-01-22 Dmitrii Manin

The pioneering research of G. K. Zipf on the relationship between word frequency and other word features led to the formulation of various linguistic laws. The most popular is Zipf's law for word frequencies. Here we focus on two laws that…

Computation and Language · Computer Science 2020-09-24 Bernardino Casas , Antoni Hernández-Fernández , Neus Català , Ramon Ferrer-i-Cancho , Jaume Baixeries

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

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 , .

The formation of sentences is a highly structured and history-dependent process. The probability of using a specific word in a sentence strongly depends on the 'history' of word-usage earlier in that sentence. We study a simple…

Physics and Society · Physics 2015-05-28 Stefan Thurner , Rudolf Hanel , Bo Liu , Bernat Corominas-Murtra

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

Over the last million years, human language has emerged and evolved as a fundamental instrument of social communication and semiotic representation. People use language in part to convey emotional information, leading to the central and…

Human language, as a typical complex system, its organization and evolution is an attractive topic for both physical and cultural researchers. In this paper, we present the first exhaustive analysis of the text organization of human speech.…

Computation and Language · Computer Science 2015-01-08 Ruokuang Lin , Qianli D. Y. Ma , Chunhua Bian

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

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

Dynamics of average length of words in Russian and English is analysed in the article. Words belonging to the diachronic text corpus Google Books Ngram and dated back to the last two centuries are studied. It was found out that average word…

Computation and Language · Computer Science 2016-05-26 Vladimir V. Bochkarev , Anna V. Shevlyakova , Valery D. Solovyev

With Zipf's law being originally and most famously observed for word frequency, it is surprisingly limited in its applicability to human language, holding over no more than three to four orders of magnitude before hitting a clear break in…

Computation and Language · Computer Science 2015-03-05 Jake Ryland Williams , Paul R. Lessard , Suma Desu , Eric Clark , James P. Bagrow , Christopher M. Danforth , Peter Sheridan Dodds

Zipf's law is a fundamental paradigm in the statistics of written and spoken natural language as well as in other communication systems. We raise the question of the elementary units for which Zipf's law should hold in the most natural way,…

Physics and Society · Physics 2015-07-14 Alvaro Corral , Gemma Boleda , Ramon Ferrer-i-Cancho

Most natural languages have a predominant or fixed word order. For example in English the word order is usually Subject-Verb-Object. This work attempts to explain this phenomenon as well as other typological findings regarding word order…

Computation and Language · Computer Science 2021-09-02 Idan Rejwan , Avi Caciularu

Zipf's law seems to be ubiquitous in human languages and appears to be a universal property of complex communicating systems. Following the early proposal made by Zipf concerning the presence of a tension between the efforts of speaker and…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Bernat Corominas-Murtra , Jordi Fortuny , Ricard V. Solé

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

Zipf's law of abbreviation, namely the tendency of more frequent words to be shorter, has been viewed as a manifestation of compression, i.e. the minimization of the length of forms -- a universal principle of natural communication.…

Computation and Language · Computer Science 2026-03-31 Sonia Petrini , Antoni Casas-i-Muñoz , Jordi Cluet-i-Martinell , Mengxue Wang , Christian Bentz , Ramon Ferrer-i-Cancho

We present evidence that the word entropy of American English has been rising steadily since around 1900, contrary to predictions from existing sociolinguistic theories. We also find differences in word entropy between media categories,…

General Economics · Economics 2023-04-20 Charlie Pilgrim , Weisi Guo , Thomas T. Hills

We study a deliberately simple, fully non-linguistic model of text: a sequence of independent draws from a finite alphabet of letters plus a single space symbol. A word is defined as a maximal block of non-space symbols. Within this…

Computation and Language · Computer Science 2025-11-25 Vladimir Berman
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