The growth equation of cities.

  title={The growth equation of cities.},
  author={Vincent Verbavatz and Marc Barthelemy},
  volume={587 7834},
The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most fundamental problem is to understand the hierarchical organization of city population and the statistical occurrence of megacities. This was first thought to be described by a universal principle known as Zipf's law1,2; however, the validity of this model has… 
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and Physics of Complex Systems (BIFI), University of Zaragoza, E-50009 Zaragoza, Spain. 3Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA 4School of Data Science, City


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