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Cucker, F., Smale, S., and Zhou, D-X. (2004) Modeling Language Evolution. Foundations of Computational Mathematics, 4(3):315--343.

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   Authoritative: http://dx.doi.org/10.1007/s10208-003-0101-2   (Publisher's PDF... likely be available here.)
   Source: http://www.tti-c.org/smale_papers.shtml
   Source: http://www6.cityu.edu.hk/ma/people/cucke...cker%20preprints.htm
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Abstract

We describe a model for the evolution of the languages used by the agents of a society. Our main result proves convergence of these langua ges to a common one under certain conditions. A few special cases are elaborated in more depth.

Keywords: Language evolution, Learning theory

BibTex
@article{cucker03,
  author={Felipe Cucker and Steve Smale and Ding-Xuan Zhou},
  title={Modeling Language Evolution},
  journal={Foundations of Computational Mathematics},
  year={2004},
  month={July},
  volume={4},
  number={3},
  pages={315-343},
  doi={10.1007/s10208-003-0101-2},
  url={http://groups.lis.illinois.edu/amag/langev/paper/cucker03.html},
  keywords={Language evolution,Learning theory}
}