Rozenfeld, H., Rybski, D., Gabaix, X. and Makse, H. (2011) The Area and Population of Cities: New Insights from a Different Perspective on Cities. American Economic Review, 101, 2205-2225.
https://doi.org/10.1257/aer.101.5.2205

has been cited by the following article:

• TITLE: Non-Maxwellian Kinetic Modelling of City Size Distribution

  AUTHORS: Lijuan Yu, Jie Liao

  KEYWORDS: Variable Collision Kernel, Kinetic Fokker-Planck Equation, Generalized Gamma Distribution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.6, June 28, 2021

  ABSTRACT: To extend the kinetic formulation of city size distribution introduced in [1], the non-Maxwellian kinetic modeling is introduced in the present study, in which a variable collision kernel is used in the underlying kinetic equation of Boltzmann type. By resorting to the well-known grazing asymptotic, a kinetic Fokker-Planck counterpart is obtained. The equilibrium of the Fokker-Planck equation belongs to the class of generalized Gamma distributions. Numerical test shows good fit of the generalized Gamma distribution with the city size distribution of China.