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arXiv · 1803.02230

Non-fringe subtrees in conditioned Galton--Watson trees

Xing Shi Cai·Svante Janson
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Abstract

We study $S(\mathcal T_{n})$, the number of subtrees in a conditioned Galton--Watson tree of size $n$. With two very different methods, we show that $\log(S(\mathcal T_{n}))$ has a Central Limit Law and that the moments of $S(\mathcal T_{n})$ are of exponential scale.

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Xing Shi Cai, Svante Janson. 2018-03-06. Non-fringe subtrees in conditioned Galton--Watson trees. https://doi.org/10.37236/7708

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