Approximation of the Height process of a CSBP with interaction

2017/06/20 by Drame, Ibrahima, Pardoux, Etienne
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1706.06892

Abstract

In this work, we first show that the properly rescaled height process of the genealogical tree of a continuous time branching process converges to the height process of the genealogy of a (possibly discontinuous) continuous state branching process. We then prove the same type of result for generalized branching processes with interaction.

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