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Abstract: According to many phenomenological and theoretical studies the distributionof family name frequencies in a population can be asymptotically described by apower law. We show that the Galton-Watson process corresponding to the dynamicsof a growing population can be represented in Hilbert space, and its timeevolution may be analyzed by renormalization group techniques, thus explainingthe origin of the power law and establishing the connection between itsexponent and the ratio between the population growth and the name productionrates.



Autor: Andrea De Luca, Paolo Rossi

Fuente: https://arxiv.org/







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