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Stationary regenerative sets and subordinators. (English) Zbl 0655.60061

Any regenerative subset of the positive half axis is the closed range of a subordinator. This correspondence is extended to cover stationary regenerative subsets of the real line. The main tool is Kuznetsov’s theory of Markov processes on \(\sigma\)-finite measure spaces. The paper is nicely written.
Reviewer: Murali Rao

MSC:

60J99 Markov processes
60D05 Geometric probability and stochastic geometry
60J25 Continuous-time Markov processes on general state spaces
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