A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties
arXiv:0711.1836 · doi:10.1088/1751-8113/41/4/045004
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.
LaTeX, 7 pages with two ps figure. A discussion of convergence added; the final version to appear in J. Phys. A: Math. Theor