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arXiv · 0711.1836

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

Pavel Exner·Petr Šeba
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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.

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Pavel Exner, Petr Šeba. 2007-11-12. A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties. https://doi.org/10.1088/1751-8113/41/4/045004

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