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Monte Carlo Algorithms for Estimating Time Asymptotics of Multiplication Particle Flow in a Random Medium

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Abstract

The fluctuations of the number of scattering and multiplying particles in a random medium are investigated as functions of time. For this purpose, randomized Monte Carlo algorithms for estimating the probabilistic moments of the corresponding exponential asymptotic parameter are constructed.

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Funding

This work was supported in part by the Russian Foundation for Basic Research, project nos. 18-01-00599 and 18-01-00356.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    G. A. Mikhailov & G. Z. Lotova

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    G. A. Mikhailov & G. Z. Lotova

Authors
  1. G. A. Mikhailov
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  2. G. Z. Lotova
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Correspondence to G. Z. Lotova.

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Translated by I. Ruzanova

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Mikhailov, G.A., Lotova, G.Z. Monte Carlo Algorithms for Estimating Time Asymptotics of Multiplication Particle Flow in a Random Medium. Dokl. Math. 101, 40–42 (2020). https://doi.org/10.1134/S1064562420010056

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  • DOI: https://doi.org/10.1134/S1064562420010056

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