Physics of randomness and regularities for cities, languages, and their lifetimes and family trees

Details Physics of randomness and regularities for cities, languages, and their lifetimes and family trees Physics of randomness and regularities for cities, languages, and their lifetimes and family trees

2007-05-13

arxiv.org/abs/0705.1838v1

Physics

Physics and Society

22 pages including all figures; for Int. J. Mod. Phys. C 18 (2007)

Scientific paper

10.1142/S0129183107011625

Time evolution of the cities and of the languages is considered in terms of multiplicative noise and fragmentation processes; where power law (Pareto-Zipf law) and slightly asymmetric log-normal (Gauss) distribution result for the size distribution of the cities and for that of the languages, respectively. The cities and the languages are treated differently (and as connected; for example, the languages split in terms of splitting the cities, etc.) and thus two distributions are obtained in the same computation at the same time. Evolutions of lifetimes and families for the cities and the languages are also studied. We suggest that the regularities may be evolving out of randomness, in terms of the relevant processes.

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