The Propagation of Molecular Chaos by Markov Transitions

Details The Propagation of Molecular Chaos by Markov Transitions The Propagation of Molecular Chaos by Markov Transitions

1999-08-16

arxiv.org/abs/math/9908084v2

Mathematics

Probability

14 pages

Scientific paper

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.

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