Geodesic
On some models in linguistics
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 98-106

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Two diffusion models of language change are considered. The first model is an initial-boundary-value problem for the Hotelling equation. This model describes the change in the size of a natural language vocabulary over time under the influence of its development and diffusion penetration. The other model describes the process of interaction between native speakers of two languages. The stability of stationary solutions is discussed.
Mots-clés : diffusion model
Keywords: steady state, stability, vocabulary growth. 
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A. A. Kretov; M. V. Polovinkina; I. P. Polovinkin. On some models in linguistics. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 98-106. http://geodesic.mathdoc.fr/item/INTO_2022_206_a8/