论文标题

CSBP高度过程的新近似

A new approximation of the Height process of a CSBP

论文作者

Drame, Ibrahima

论文摘要

我们通过连续的高度过程编码Galton-Walton树,以便为树木的融合提供精确的含义。这使我们能够建立大量人口的分支过程森林的融合,朝着有限的连续状态分支过程(CSBP)的家谱树建立。与在Etienne Pardoux中研究的近似值相比,这里考虑的近似值是新的。

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 Etienne Pardoux.

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