Abstract:1. Introduction. Let (£,$) be a set with a c-field of subsets \J containing all one point sets, and let P(x, B) be a transition function of a Markov process with states in £. Assume that F has at least one cr-finite invariant measure X which we take as fixed throughout the discussion. In §2 we describe precisely how to construct a system of denumerably many independent Markov processes all having the same transition law P and whose initial positions are given by the Poisson process on £ with mean X(B) on B. Th… Show more
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