The article is focused on statistical properties of spatial distribution of galaxies in the Universe on scales exceeding 5 Мpc. The investigation aims at finding an appropriate algorithm for modeling random realizations of ensembles. The objects of research are the statistical properties of the spatial distribution of galaxies on scales exceeding 5 Mpc. The aim of the study is to find a suitable algorithm for modeling random realizations of the statistical ensemble of such distributions, which makes it possible to move to remote regions of large scales with depleted statistics, and on the constructed model to test signs of the transition from correlated to uncorrelated (if any) regions of the Universe. Information about such a boundary, called in the work the horizon of independence, is a necessary component of the modern model of the world in the era of extraatmospheric astronomy. The need to determine it is dictated not only by the natural desire to look beyond the horizon, but also by the reliance on mutually distant parts of the Universe within the framework of this model practiced in observational astronomy, as independent realizations of one statistical ensemble, ensuring the representativeness of the sample. The research method is based on the use of the Uchaikin–Zolotarev power spectrum approximation and the Markov chain constructed on its basis. A comparison with observational data demonstrates a high flexibility of the approximation and its potential effectiveness in solving the problem of the independence horizon.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 38–48, January, 2022.
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Uchaikin, V.V., Litvinov, V.A. & Kozhemiakina, E.V. On Effective Approximation of the Power Spectrum of Large-Scale Structure of the Universe. Russ Phys J 65, 42–54 (2022). https://doi.org/10.1007/s11182-022-02605-5
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DOI: https://doi.org/10.1007/s11182-022-02605-5