Kac particle systems with free motion and equations of Boltzmann type

Nekrutkin V. ()

Monte Carlo Methods and Applications, 2003, vol. 9, issue 1, 13-25

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.

Keywords: equations of Boltzmann type; Monte Carlo methods; Kac n-particle systems (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1515/156939603322587434

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