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}
}
  • Sylvie Roelly‐ Coppoletta
  • Published 1 April 1986
  • Mathematics
  • Stochastics An International Journal of Probability and Stochastic Processes
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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