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

Pavel Exner Petr eba

TBD mathscidoc:1910.43251

Journal of Physics A: Mathematical and Theoretical, 41, (4), 045004, 2008.1
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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@inproceedings{pavel2008a,
  title={A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties},
  author={Pavel Exner, and Petr eba},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134737786148780},
  booktitle={Journal of Physics A: Mathematical and Theoretical},
  volume={41},
  number={4},
  pages={045004},
  year={2008},
}
Pavel Exner, and Petr eba. A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties. 2008. Vol. 41. In Journal of Physics A: Mathematical and Theoretical. pp.045004. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020134737786148780.
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