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| URL: http://www.ptb.ias.edu/plotkin/InfoTheory.pdf |
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| Authoritative: http://dx.doi.org/10.1006/jtbi.2000.2053 (Publisher's PDF... likely be available here.) |
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Abstract
This paper places models of language evolution within the framework of information theory. We study how signals become associated with meaning. If there is a probability of mistaking signals for each other, then evolution leads to an error limit: increasing the number of signals does not increase the fitness of a language beyond a certain limit. This error limit can be overcome by word formation: a linear increase of the word length leads to an exponential increase of the maximum fitness. We develop a general model of word formation and demonstrate the connection between the error limit and Shannon's noisy coding theorem.BibTex
@article{plotkin00languageEvolution,
author={J. B. Plotkin and M. A. Nowak},
title={Language evolution and information theory},
journal={Journal of Theoretical Biology},
year={2000},
volume={205},
number={1},
pages={147-159},
doi={10.1006/jtbi.2000.2053},
url={http://www.isrl.uiuc.edu/~amag/langev/paper/plotkin00languageEvolution.html}
}
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