A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties
Physics and Society
2019-12-10 v2 Statistical Finance
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.
Keywords
Cite
@article{arxiv.0711.1836,
title = {A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties},
author = {Pavel Exner and Petr Šeba},
journal= {arXiv preprint arXiv:0711.1836},
year = {2019}
}
Comments
LaTeX, 7 pages with two ps figure. A discussion of convergence added; the final version to appear in J. Phys. A: Math. Theor