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

作者:Exner Pavel*; Seba Petr
来源:Journal of Physics A-Mathematical and Theoretical, 2008, 41(4): 045004.
DOI:10.1088/1751-8113/41/4/045004

摘要

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.

  • 出版日期2008-2-1