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Kac particle systems with free motion and equations of Boltzmann type

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  • Nekrutkin V.

Abstract

The paper is devoted to the stochastic solution of non-homogeneous Boltzmann-like equations up to ­ fixed time t with the help of the free-motion Kac particle systems. Sufficient conditions for the propagation of chaos are represented mainly in terms of distributions of point processes which govern jumps in Kac n-particle systems.

Suggested Citation

  • Nekrutkin V., 2003. "Kac particle systems with free motion and equations of Boltzmann type," Monte Carlo Methods and Applications, De Gruyter, vol. 9(1), pages 13-25, January.
    • Handle: RePEc:bpj:mcmeap:v:9:y:2003:i:1:p:13-25:n:2
    DOI: 10.1515/156939603322587434
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    References listed on IDEAS

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    1. Nekrutkin V. & Tur N., 1997. "Asymptotic expansions and estimators with small bias for Nanbu processes," Monte Carlo Methods and Applications, De Gruyter, vol. 3(1), pages 1-36, December.
    2. Nekrutkin V. & Romkin K., 2002. "Propagation of chaos for Kac particle Systems," Monte Carlo Methods and Applications, De Gruyter, vol. 8(3), pages 299-316, December.
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