On the coexistence of competing languages

Abstract

We investigate the evolution of competing languages, a subject where much previous literature suggests that the outcome is always the domination of one language over all the others. Since coexistence of languages is observed in reality, we here revisit the question of language competition, with an emphasis on uncovering the ways in which coexistence might emerge. We find that this emergence is related to symmetry breaking, and explore two particular scenarios -- the first relating to an imbalance in the population dynamics of language speakers in a single geographical area, and the second to do with spatial heterogeneity, where language preferences are specific to different geographical regions. For each of these, the investigation of paradigmatic situations leads us to a quantitative understanding of the conditions leading to language coexistence. We also obtain predictions of the number of surviving languages as a function of various model parameters.

arXiv comment18 pages, 12 figures, 47 references. To appear in EPJ B

References in corpus (10)

• Statistical physics of social dynamics
• Ordering dynamics with two non-excluding options: Bilingualism in language competition
• Interlinguistic similarity and language death dynamics
• Microscopic Abrams-Strogatz model of language competition
• Classical Representation of the 1D Anderson Model
• The Lyapunov exponent of products of random $2\times 2$ matrices close to the identity
• Hierarchy of Scales in Language Dynamics
• A model of competition among more than two languages
• A deterministic model of competitive cluster growth: glassy dynamics, metastability and pattern formation
• Universality in survivor distributions: Characterising the winners of competitive dynamics

Cited by in corpus (2)

• Modeling language ideologies for the dynamics of languages in contact
• Evolution of grammatical forms: some quantitative approaches