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

0309271 - ÚJF 2009 RIV GB eng J - Journal Article
Exner, Pavel - Šeba, Petr
A Markov process associated with plot-size distribution in Czech Land Registry and its number-theoretic properties.
[Markovský proces spojený s rozdělením velikosti parcel v českém katastru a jeho číselně teoretické vlastnosti.]
Journal of Physics A-Mathematical and Theoretical. Roč. 41, č. 4 (2008), 045004/1-045004/7. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505; CEZ:AV0Z10100521
Keywords : perpetuities
Subject RIV: BE - Theoretical Physics
Impact factor: 1.540, year: 2008

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.

Vyšetřujeme Markovský proces spojený s rozdělením velikosti parcel v českém katastru a ukazujeme, že rozdělení je popsáno Dickmanovou funkcí.
Permanent Link: http://hdl.handle.net/11104/0161459