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The differential equations of Abrams and Strogatz for the competition between two languages are compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up…

Computational Physics · Physics 2008-01-27 Dietrich Stauffer , Xavier Castello , Victor M. Eguiluz , Maxi San Miguel

Present human languages display slightly asymmetric log-normal (Gauss) distribution for size [1-3], whereas present cities follow power law (Pareto-Zipf law)[4]. Our model considers the competition between languages and that between cities…

Computational Physics · Physics 2007-05-23 Caglar Tuncay

Increasing evidence demonstrates that in many places language coexistence has become ubiquitous and essential for supporting language and cultural diversity and associated with its financial and economic benefits. The competitive evolution…

Computers and Society · Computer Science 2021-12-23 Zejie Zhou , Boleslaw K. Szymanski , Jianxi Gao

Here we describe how some important scaling laws observed in the distribution of languages on Earth can emerge from a simple computer simulation. The proposed language dynamics includes processes of selective geographic colonization,…

Physics and Society · Physics 2009-11-11 Viviane M. de Oliveira , M. A. F. Gomes , I. R. Tsang

All living languages change over time. The causes for this are many, one being the emergence and borrowing of new linguistic elements. Competition between the new elements and older ones with a similar semantic or grammatical function may…

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

We propose a model for the evolutionary ecology of words as one attempt to extend evolutionary game theory and agent-based models by utilizing the rich linguistic expressions of Large Language Models (LLMs). Our model enables the emergence…

Populations and Evolution · Quantitative Biology 2025-05-12 Reiji Suzuki , Takaya Arita

In order to analyze the dynamics of two languages in competition, one approach is to fit historical data on their numbers of speakers with a mathematical model in which the parameters are interpreted as the similarity between those…

Physics and Society · Physics 2015-05-19 Jorge Mira , Luís F. Seoane , Juan J. Nieto

Our earlier language model is modified to allow for the survival of a minority language without higher status, just because of the pride of its speakers in their linguistic identity. An appendix studies the roughness of the interface for…

Physics and Society · Physics 2007-05-23 Christian Schulze , Dietrich Stauffer

This paper presents the results of the application of a bit-string model of languages (Schulze and Stauffer 2005) to problems of taxonomic patterns. The questions addressed include the following: (1) Which parameters are minimally ne eded…

Physics and Society · Physics 2007-05-23 Soren Wichmann , Dietrich Stauffer , F. Welington S. Lima , Christian Schulze

Most languages use the relative order between words to encode meaning relations. Languages differ, however, in what orders they use and how these orders are mapped onto different meanings. We test the hypothesis that, despite these…

Computation and Language · Computer Science 2015-10-13 Daniel Gildea , T. Florian Jaeger

An earlier study (Nettle 1999b) concluded, based on computer simulations and some inferences from empirical data, that languages will change the more slowly the larger the population gets. We replicate this study using a more complete…

Physics and Society · Physics 2007-06-14 Soeren Wichmann , Dietrich Stauffer , Christian Schulze , Eric W. Holman

Influencing various aspects of human activity, migration is associated also with language formation. To examine the mutual interaction of these processes, we study a Naming Game with migrating agents. The dynamics of the model leads to…

Physics and Society · Physics 2017-05-17 Dorota Lipowska , Adam Lipowski

The survival of endangered languages in complex language competition depends on socio-cultural status and honour endowed (by itself and by the other) among them. The restriction in the endorsement of this honour leads to language extinction…

Physics and Society · Physics 2023-07-26 Moirangthem Shubhakanta Singh , R. K. Brojen Singh

An in-depth analytic study of a model of language dynamics is presented: a model which tackles the problem of the coexistence of two languages within a closed community of speakers taking into account bilingualism and incorporating a…

Physics and Society · Physics 2014-02-19 Victoria Otero-Espinar , Luís F. Seoane , Juan J. Nieto , Jorge Mira

In contrast with animal communication systems, diversity is characteristic of almost every aspect of human language. Languages variously employ tones, clicks, or manual signs to signal differences in meaning; some languages lack the…

Physics and Society · Physics 2013-02-14 Andrea Baronchelli , Nick Chater , Romualdo Pastor-Satorras , Morten H. Christiansen

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

Human communication systems, such as language, evolve culturally; their components undergo reproduction and variation. However, a role for selection in cultural evolutionary dynamics is less clear. Often neutral evolution (also known as…

Social and Information Networks · Computer Science 2014-07-01 Nicolas Fay , Monica Tamariz , T Mark Ellison , Dale Barr

Understanding the limits of language is a prerequisite for Large Language Models (LLMs) to act as theories of natural language. LLM performance in some language tasks presents both quantitative and qualitative differences from that of…

Computation and Language · Computer Science 2025-06-30 Vittoria Dentella , Fritz Guenther , Evelina Leivada

Computer model has been extensively adopted to overcome the time limitation of language evolution by transforming language theory into physical modeling mechanism, which helps to explore the general laws of the evolution. In this paper, a…

Systems and Control · Electrical Eng. & Systems 2022-10-07 Yu Zhang , Li Liu , Chen Diao , Ning Cai

The current distribution of language size in terms of speaker population is generally described using a lognormal distribution. Analyzing the original real data we show how the double-Pareto lognormal distribution can give an alternative…

Physics and Society · Physics 2015-05-13 V. Schwämmle , Silvio M. D. Queirós , E. Brigatti , T. Tchumatchenko