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Pré-Publication, Document De Travail Année : 2020

Approximation of the Height process of a CSBP with interaction

Ibrahima Dramé
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Etienne Pardoux
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Résumé

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.

Dates et versions

hal-02467516 , version 1 (05-02-2020)

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Ibrahima Dramé, Etienne Pardoux. Approximation of the Height process of a CSBP with interaction. 2020. ⟨hal-02467516⟩
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