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math.PR2000
Markov Transitions and the Propagation of Chaos
Alexander David Gottlieb
The propagation of chaos is a central concept of kinetic theory that serves to relate the equations of Boltzmann and Vlasov to the dynamics of many-particle systems. Propagation of…
math.PR1999
The Propagation of Molecular Chaos by Markov Transitions
Alexander David Gottlieb
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…