COMPETITION OF LANGUAGES AND THEIR HAMMING DISTANCE

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s . so c - ph ] 3 1 A ug 2 00 5 Competition of Languages and their Hamming Distance

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 ...

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Let x, y be strings of equal length. The Hamming distance h(x, y) between x and y is the number of positions in which x and y differ. If x is a cyclic shift of y, we say x and y are conjugates. We consider f(x, y), the Hamming distance between the conjugates xy and yx. Over a binary alphabet f(x, y) is always even, and must satisfy a further technical condition. By contrast, over an alphabet of...

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ژورنال

عنوان ژورنال: International Journal of Modern Physics C

سال: 2006

ISSN: 0129-1831,1793-6586

DOI: 10.1142/s0129183106008765