The Propagation of Molecular Chaos by Markov Transitions
Probability
2007-05-23 v2
Abstract
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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Cite
@article{arxiv.math/9908084,
title = {The Propagation of Molecular Chaos by Markov Transitions},
author = {Alexander David Gottlieb},
journal= {arXiv preprint arXiv:math/9908084},
year = {2007}
}
Comments
14 pages