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Conference papers

A new approximation of the Height process of a CSBP

Abstract : We code Galton-Walton trees by a continuous height process, in order to give a precise meaning to the convergence of forests of trees. This allows us to establish the convergence of the forest of genealogical trees of the branching process of a large population towards the genealogical trees of the limiting continuous state branching process (CSBP). The approximation considered here is new, compared to that which has been studied in our previous paper number 5 in the bibliography.
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Submitted on : Thursday, September 3, 2020 - 9:54:24 PM
Last modification on : Tuesday, September 15, 2020 - 11:58:32 AM
Long-term archiving on: : Wednesday, December 2, 2020 - 7:58:48 PM


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Ibrahima Dramé. A new approximation of the Height process of a CSBP. CARI 2020 - Colloque Africain sur la Recherche en Informatique et en Mathématiques Apliquées, Oct 2020, Thies, Senegal. ⟨hal-02929870⟩



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