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By determining which were the most common English words and phrases since the beginning of the 16th century, we obtain a unique large-scale view of the evolution of written text. We find that the most common words and phrases in any given…

Physics and Society · Physics 2012-12-10 Matjaz Perc

We show that statistical criticality, i.e. the occurrence of power law frequency distributions, arises in samples that are maximally informative about the underlying generating process. In order to reach this conclusion, we first identify…

Data Analysis, Statistics and Probability · Physics 2019-07-09 Ryan John Cubero , Junghyo Jo , Matteo Marsili , Yasser Roudi , Juyong Song

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

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

We examine the relationship between two different types of ranked data, frequencies and magnitudes. We consider data that can be sorted out either way, through numbers of occurrences or size of the measures, as it is the case, say, of moon…

Statistical Mechanics · Physics 2017-12-13 Carlos Velarde , Alberto Robledo

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

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

The auditory system displays remarkable sensitivity and frequency discrimination, attributes shown to rely on an amplification process that involves a mechanical as well as a biochemical response. Models that display proximity to an…

Pattern Formation and Solitons · Physics 2016-11-24 Yuval Edri , Dolores Bozovic , Arik Yochelis

This paper revisits Menzerath's Law, also known as the Menzerath-Altmann Law, which models a relationship between the length of a linguistic construct and the average length of its constituents. Recent findings indicate that simple…

Computation and Language · Computer Science 2025-10-17 Jiří Milička

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

This paper introduces a statistical and other analysis of peer reviewers in order to approach their "quality" through some quantification measure, thereby leading to some quality metrics. Peer reviewer reports for the Journal of the Serbian…

Physics and Society · Physics 2016-06-08 Marcel Ausloos , Olgica Nedic , Agata Fronczak , Piotr Fronczak

A new family of compound Poisson distribution functions from statistical linguistic is used to study the n-tuples and nucleotide composition features of DNA sequences. The relative frequency distribution of the 6-tuples and 7- tuples…

Statistical Mechanics · Physics 2007-05-23 K. L. Ng , S. P. Li

The distribution of word probabilities in the monkey model of Zipf's law is associated with two universality properties: (1) the power law exponent converges strongly to $-1$ as the alphabet size increases and the letter probabilities are…

Probability · Mathematics 2016-04-20 Richard Perline , Ronald Perline

A new angle of view is proposed to find the simple rules dominating complex systems and regular patterns behind random phenomena such as cities. Hierarchy of cities reflects the ubiquitous structure frequently observed in the natural world…

Physics and Society · Physics 2018-12-21 Yanguang Chen

We inspect the deductive connection between the neural scaling law and Zipf's law -- two statements discussed in machine learning and quantitative linguistics. The neural scaling law describes how the cross entropy rate of a foundation…

Information Theory · Computer Science 2025-12-23 Łukasz Dębowski

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 task of finding a criterion allowing to distinguish a text from an arbitrary set of words is rather relevant in itself, for instance, in the aspect of development of means for internet-content indexing or separating signals and noise in…

Computation and Language · Computer Science 2007-10-02 D. V. Lande , A. A. Snarskii

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

Recent years have brought great advances into solving morphological tasks, mostly due to powerful neural models applied to various tasks as (re)inflection and analysis. Yet, such morphological tasks cannot be considered solved, especially…

Computation and Language · Computer Science 2023-06-23 David Guriel , Omer Goldman , Reut Tsarfaty

We use the formulation of equilibrium statistical mechanics in order to study some important characteristics of language. Using a simple expression for the Hamiltonian of a language system, which is directly implied by the Zipf law, we are…

Physics and Society · Physics 2009-11-11 Kosmas Kosmidis , Alkiviadis Kalampokis , Panos Argyrakis