A Random Walk Model for Spatial Galaxy Distribution

Vladimir V. Uchaikin, Vladimir A. Litvinov, Elena V. Kozhemyakina and Ilya I. Kozhemyakin
Additional contact information
Vladimir V. Uchaikin: Department of Theoretical Physics, Ulyanovsk State University, 432700 Ulyanovsk, Russia
Vladimir A. Litvinov: Department of Informatics and Special Technique, Barnaul Law Institute of the Ministry of Internal Affairs of Russia, 656099 Barnaul, Russia
Elena V. Kozhemyakina: Department of Theoretical Physics, Ulyanovsk State University, 432700 Ulyanovsk, Russia
Ilya I. Kozhemyakin: Department of Theoretical Physics, Ulyanovsk State University, 432700 Ulyanovsk, Russia

Mathematics, 2021, vol. 9, issue 1, 1-17

Abstract: A new statistical model of spatial distribution of observed galaxies is described. Statistical correlations are involved by means of Markov chain ensembles, whose parameters are extracted from the observable power spectrum by adopting of the Uchaikin–Zolotarev ansatz. Markov chain trajectories with the Lévy–Feldheim distributed step lengths form the set of nodes imitating the positions of galaxy. The model plausibly reproduces the two-point correlation functions, cell-count data and some other important properties. It can effectively be used in the post-processing of astronomical data for cosmological studies.

Keywords: random walk; fractals; galaxy; correlation; power spectrum; results from (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/1/98/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/1/98/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:1:p:98-:d:474852

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().