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A criterion of convergence of measure-valued processes: Application to measure branching processes. (English) Zbl 0598.60088

Author’s summary: In this paper martingale properties of a measure branching process are investigated. Uniqueness and continuity of this process are proven by a martingale approach. For the existence, the author approximates the measure branching process by a sequence of infinite particle branching diffusion processes, and shows the convergence in distribution by a new criterion for measure-valued processes. He also gives properties about local structure of the process.
Reviewer: D.Dawson

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
60G57 Random measures
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References:

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