A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties

Pavel Exner and Petr \v{S}eba

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Abstract: The size distribution of land plots is a result of land allocation processes in the past. In the absence of regulation this is a Markov process leading an equilibrium described by a probabilistic equation used commonly in the insurance and financial mathematics. We support this claim by analyzing the distribution of two plot types, garden and build-up areas, in the Czech Land Registry pointing out the coincidence with the distribution of prime number factors described by Dickman function in the first case.

Date: 2007-11, Revised 2007-12
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Published in J. Phys. A: Math. Theor. 41 (2008), 045004 (7pp)

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