Approximation of the Height process of a CSBP with interaction

Ibrahima Drame; Etienne Pardoux

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arXiv · 1706.06892

Approximation of the Height process of a CSBP with interaction

Ibrahima Drame·Etienne Pardoux

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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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Ibrahima Drame, Etienne Pardoux. 2017-06-20. Approximation of the Height process of a CSBP with interaction. https://arxiv.org/abs/1706.06892

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