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

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  • Pavel Exner
  • Petr v{S}eba

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 v{S}eba, 2007. "A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties," Papers 0711.1836, arXiv.org, revised Dec 2007.
    • Handle: RePEc:arx:papers:0711.1836
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    4. Baron, Michael & Rukhin, Andrew L., 2001. "Perpetuities and asymptotic change-point analysis," Statistics & Probability Letters, Elsevier, vol. 55(1), pages 29-38, November.
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