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


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Tuncay C.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.18, ss.1641-1658, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 18 Konu: 10
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1142/s0129183107011625
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Sayfa Sayıları: ss.1641-1658

Özet

Time evolution of the cities and languages is considered in terms of multiplicative noise(1) and fragmentation(2) processes; where power law (Pareto-Zipf law)(3) and slightly asymmetric log-normal (Gauss)4 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.