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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