dorsal/arxiv
View SchemaCompetition of Languages and their Hamming Distance
| Authors | Tiberiu Teşileanu, Hildegard Meyer-Ortmanns |
|---|---|
| Categories | |
| ArXiv ID | physics/0508229 |
| URL | https://arxiv.org/abs/physics/0508229 |
| DOI | 10.1142/S0129183106008765 |
Abstract
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.
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"abstract": "We consider the spreading and competition of languages that are spoken by a\npopulation of individuals. The individuals can change their mother tongue\nduring their lifespan, pass on their language to their offspring and finally\ndie. The languages are described by bitstrings, their mutual difference is\nexpressed in terms of their Hamming distance. Language evolution is determined\nby mutation and adaptation rates. In particular we consider the case where the\nreplacement of a language by another one is determined by their mutual Hamming\ndistance. As a function of the mutation rate we find a sharp transition between\na scenario with one dominant language and fragmentation into many language\nclusters. The transition is also reflected in the Hamming distance between the\ntwo languages with the largest and second to largest number of speakers. We\nalso consider the case where the population is localized on a square lattice\nand the interaction of individuals is restricted to a certain geometrical\ndomain. Here it is again the Hamming distance that plays an essential role in\nthe final fate of a language of either surviving or being extinct.",
"arxiv_id": "physics/0508229",
"authors": [
"Tiberiu Te\u015fileanu",
"Hildegard Meyer-Ortmanns"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1142/S0129183106008765",
"title": "Competition of Languages and their Hamming Distance",
"url": "https://arxiv.org/abs/physics/0508229"
},
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