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Competition of Languages and their Hamming Distance

机译:语言竞争及其汉明距离

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摘要

We consider the spreading and competition of languages that are spoken by a population of individuals. The individuals can change their mother tongue during their lifespan, pass on their language to their offspring and finally die. The languages are described by bitstrings, their mutual difference is expressed in terms of their Hamming distance. Language evolution is determined by mutation and adaptation rates. In particular we consider the case where the replacement of a language by another one is determined by their mutual Hamming distance. As a function of the mutation rate we find a sharp transition between a scenario with one dominant language and fragmentation into many language clusters. The transition is also reflected in the Hamming distance between the two languages with the largest and second to largest number of speakers. We also consider the case where the population is localized on a square lattice and the interaction of individuals is restricted to a certain geometrical domain. Here it is again the Hamming distance that plays an essential role in the final fate of a language of either surviving or being extinct.
机译:我们考虑由一群人说的语言的传播和竞争。个体可以在其一生中改变其母语,将其语言传给其后代并最终死亡。语言是用位串描述的,它们之间的差异用汉明距离来表示。语言的发展取决于变异和适应率。特别地,我们考虑一种语言被另一种语言替代的情况,这取决于它们之间的汉明距离。作为变异率的函数,我们发现在具有一种主要语言的场景和分裂成许多语言簇的场景之间有一个急剧的过渡。两种语言之间的汉明距离也体现了这种过渡,说话者人数最多,第二至第二。我们还考虑了人口位于方格上并且个体的相互作用被限制在某个几何范围内的情况。在这里,汉明距离再次在生存或灭绝的语言的最终命运中起着至关重要的作用。

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  • 作者

    Meyer-Ortmanns, H;

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  • 年度 2005
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  • 原文格式 PDF
  • 正文语种 eng
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