On the maximal offspring in a subcritical branching process

Benedikt Stufler

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arXiv · 1901.04603

On the maximal offspring in a subcritical branching process

Benedikt Stufler

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Abstract

We consider a subcritical Galton--Watson tree conditioned on having $n$ vertices with outdegree in a fixed set $\Omega$. Under mild regularity assumptions we prove various limits related to the maximal offspring of a vertex as $n$ tends to infinity.

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Benedikt Stufler. 2019-01-14. On the maximal offspring in a subcritical branching process. https://arxiv.org/abs/1901.04603

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