Cross-sectional evolution of the U.S. city size distribution

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Housing Liquidity, Mobility, and the Labour Market (2012, background): “Subtracting ( 19 ) from (18) and (21) from (20), and solving in terms ofUR we have expressions”
Departures from Gibrat's Law, Discontinuities and City Size Distributions (2007, background): “US urban development in the 20th century was characterised by distinct regional patterns (Overman and Ioannides, 2001).”
Spatial scaling of stable night lights (2011, background): “However, the exponent appears to vary from country to country (e.g. Pumain and Moriconi-Ebrard, 1997), and even within the same country over time (Guérin-Pace, 1995; Overman and Ioannides, 2001).”
A Century of Shocks: The Evolution of the German City Size Distribution 1925-1999 (2008, unknown): “Recent empirical papers on the evolution of the city size distribution, e.g. Black and Henderson (2003), Overman and Ioannides (2001), Ioannides and Overman (2003), Dobkins and Ioannides (2000), and Eeckhout (2004), all focus on the US experience.”
The size distribution of Chinese cities (2005, methodology): “Overman and Ioannides (2001) used a stochastic transition kernel to analyze the evolution of the distribution of U.S. metropolitan area population from 1900 to 1990.”