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Modeling Language Evolution

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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 languages to a common one under certain conditions. A few special cases are elaborated in more depth.

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Authors and Affiliations

  1. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong

    Felipe Cucker

  2. Toyota Technological Institute at Chicago, 1427 East 60th Street, Chicago, IL 60637, USA

    Steve Smale

  3. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong

    Ding-Xuan Zhou

Authors
  1. Felipe Cucker
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  2. Steve Smale
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  3. Ding-Xuan Zhou
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Corresponding authors

Correspondence to Felipe Cucker, Steve Smale or Ding-Xuan Zhou.

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Cucker, F., Smale, S. & Zhou, DX. Modeling Language Evolution. Found Comput Math 4, 315–343 (2004). https://doi.org/10.1007/s10208-003-0101-2

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  • DOI: https://doi.org/10.1007/s10208-003-0101-2

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