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de Oliveira, P. M. C., Stauffer, D., Lima, F. W. S., Sousa, A. O., Schulze, C., and de Oliveira, S. M. (2007) Bit-strings and other modifications of Viviane model for language competition. Physica A-Statistical Mechanics And Its Applications, 376:609--616.
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   URL: http://arxiv.org/pdf/physics/0608204

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   Authoritative: http://dx.doi.org/10.1016/j.physa.2006.10.022   (Publisher's PDF... likely be available here.)
   Source: http://arxiv.org/abs/physics/0608204
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Abstract

The language competition model of Viviane de Oliveira et al. is modified by associating with each language a string of 32 bits. Whenever a language changes in this Viviane model, also one randomly selected bit is flipped. If then only languages with different bit-strings are counted as different, the resulting size distribution of languages agrees with the empirically observed slightly asymmetric log-normal distribution. Several other modifications were also tried but either had more free parameters or agreed less well with reality.
BibTex
@article{oliveira07bitstrings,
  author={P. M. C. de Oliveira and D. Stauffer and F. W. S. Lima and A. O. Sousa and C. Schulze and S. M. de Oliveira},
  title={Bit-strings and other modifications of Viviane model for language competition},
  journal={Physica A-Statistical Mechanics And Its Applications},
  year={2007},
  month={March},
  volume={376},
  pages={609--616},
  doi={10.1016/j.physa.2006.10.022},
  url={http://www.isrl.uiuc.edu/~amag/langev/paper/oliveira07bitstrings.html}
}