The Propagation of Molecular Chaos by Markov Transitions

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We establish a necessary and sufficient condition for the propagation of chaos by a family of many-particle Markov processes, if the particles live in a Polish space: a sequence of n-particle Markov transition functions propagates chaos if and only if it propagates chaos for pure initial states.
14 pages

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Probability, 82C05, 60J35, 60K35

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http://salesiana.dossiersoluciones.com/handle/123456789/78965

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908084
 http://arxiv.org/abs/math/9908084

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arXiv