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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 1, Pages 144–152 (Mi zvmmf9644)  
“Poisson” models of random fields with applications in transport theory

G. A. Mikhailov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090 Russia
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Abstract: A comparative analysis of various models of exponentially correlated random fields associated with Poisson point ensembles is given. Algorithms for the modeling of radiative transfer in random media of this type are considered. An asymptotic estimate for the particle passage probability is constructed assuming that the flow of trajectory intersections with domains of constant random density is Poisson distributed.
Key words: Poisson ensemble, piecewise constant random field, correlation function, maximum cross section method, renewal equation.
Received: 24.05.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 1, Pages 137–145
DOI: https://doi.org/10.1134/S0965542512010095
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: G. A. Mikhailov, ““Poisson” models of random fields with applications in transport theory”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012), 144–152; Comput. Math. Math. Phys., 52:1 (2012), 137–145
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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