A Random Walk Model for Spatial Galaxy Distribution

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...

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Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 1; p. 98
Main Authors Uchaikin, Vladimir V., Litvinov, Vladimir A., Kozhemyakina, Elena V., Kozhemyakin, Ilya I.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2021
Subjects
Approximation
Celestial bodies
correlation
Cosmology
Fractals
galaxy
Galaxy distribution
Investigations
Markov analysis
Markov chains
Mathematics
Post-production processing
power spectrum
Random walk
results from
Spatial distribution
Stars & galaxies
Statistical models
Universe
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9010098