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URL: http://arxiv.org/pdf/physics/0603042

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Authoritative: http://dx.doi.org/10.1016/j.physa.2006.07.036   (Publisher's PDF... likely be available here.)

Source: http://arxiv.org/abs/physics/0603042

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Abstract

The differential equation of Abrams and Strogatz for the competition between two languages is compared with agent-based Monte Carlo simulations for fully connected networks as well as for lattices in one, two and three dimensions, with up to 10(9) agents. In the case of socially equivalent languages, agent-based models and a mean-field approximation give grossly different results.

Keywords: Monte Carlo; language competition

@article{stauffer06languageCompetition,
  author={Dietrich Stauffer and Xavier Castello and Victor M. Eguiluz and Maxi San Miguel},
  title={Microscopic Abrams-Strogatz model of language competition},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2007},
  month={FEB},
  volume={374},
  number={2},
  pages={835-842},
  doi={10.1016/j.physa.2006.07.036},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/stauffer06languageCompetition.html},
  keywords={Monte Carlo; language competition}
}

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