# A criterion of convergence of measure‐valued processes: application to measure branching processes

@article{Coppoletta1986ACO, title={A criterion of convergence of measure‐valued processes: application to measure branching processes}, author={Sylvie Roelly‐ Coppoletta}, journal={Stochastics An International Journal of Probability and Stochastic Processes}, year={1986}, volume={17}, pages={43-65} }

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, we approximate the measure branching process by a sequence of infinite particle branching diffusion processes, and show the convergence in distribution by a new criterion for measure‐valued processes. We also give properties about local structure of the process.

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