Corpus ID: 102353026

Branching Processes -- A General Concept

@article{Greven2018BranchingP,
  title={Branching Processes -- A General Concept},
  author={A. Greven and Thomas Rippl and Patric Karl Glode},
  journal={arXiv: Probability},
  year={2018}
}
The paper has four goals. First, we want to generalize the classical concept of the branching property so that it becomes applicable for historical and genealogical processes (using the coding of genealogies by ($V$-marked) ultrametric measure spaces leading to state spaces $\mathbb{U}$ resp. $\mathbb{U}^V$). The processes are defined by well-posed martingale problems. In particular we want to complement the corresponding concept of infinite divisibility developed in \cite{infdiv} for this… Expand
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