Utterance selection model of language change.

@article{Baxter2006UtteranceSM,
  title={Utterance selection model of language change.},
  author={Gareth J. Baxter and Richard A. Blythe and William Croft and Alan J. McKane},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2006},
  volume={73 4 Pt 2},
  pages={
          046118
        }
}
We present a mathematical formulation of a theory of language change. The theory is evolutionary in nature and has close analogies with theories of population genetics. The mathematical structure we construct similarly has correspondences with the Fisher-Wright model of population genetics, but there are significant differences. The continuous time formulation of the model is expressed in terms of a Fokker-Planck equation. This equation is exactly soluble in the case of a single speaker and can… CONTINUE READING
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