Zipf’s Law from Scale-free Geometry – Like Galaxies, Like Cities

Abstract: The spatial distribution of people exhibits clustering across a wide range of scales, from household (∼10−2 km) to continental (∼104 km) scales. Empirical data indicates simple power-law scalings for the size distribution of cities (known as Zipf’s law) and the population density fluctuations as a function of scale. Using techniques from random field theory […]
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