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A study of bounded cascade models of random fields on a plane

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Abstract

Cascade models of random processes and fields are extensively used in mathematical modeling of various objects and phenomena. This paper treats of properties of bounded cascade models on a plane as well as their one-dimensional distributions and correlation structure. The results obtained are helpful in analyzing the suitability of cascade models for solving various practical problems.

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Authors and Affiliations

  1. Institute of Cytology and Genetics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 10, Novosibirsk, 630090, Russia

    N. P. Eltsov

  2. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia

    V. A. Ogorodnikov & S. M. Prigarin

  3. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    V. A. Ogorodnikov & S. M. Prigarin

Authors
  1. N. P. Eltsov
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  2. V. A. Ogorodnikov
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  3. S. M. Prigarin
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Correspondence to N. P. Eltsov.

Additional information

Original Russian Text © N.P. Eltsov, V.A. Ogorodnikov, S.M. Prigarin, 2008, published in Sibirskii Zhurnal Vychislitel’noi Matematiki, 2008, Vol. 11, No. 4, pp. 405–412.

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Eltsov, N.P., Ogorodnikov, V.A. & Prigarin, S.M. A study of bounded cascade models of random fields on a plane. Numer. Analys. Appl. 1, 332–338 (2008). https://doi.org/10.1134/S1995423908040034

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  • DOI: https://doi.org/10.1134/S1995423908040034

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