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A Random Walk Model for Spatial Galaxy Distribution

Author

Listed:
  • 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)

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.

Suggested Citation

  • Vladimir V. Uchaikin & Vladimir A. Litvinov & Elena V. Kozhemyakina & Ilya I. Kozhemyakin, 2021. "A Random Walk Model for Spatial Galaxy Distribution," Mathematics, MDPI, vol. 9(1), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:1:p:98-:d:474852
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