Abstract
We show that the number of copies of a given rooted tree in a conditioned Galton–Watson tree satisfies a law of large numbers under a minimal moment condition on the offspring distribution.
Funding Statement
Supported by the Knut and Alice Wallenberg Foundation.
Acknowledgments
I thank Stephan Wagner and an anonymous referee for helpful comments.
Citation
Svante Janson. "On general subtrees of a conditioned Galton–Watson tree." Electron. Commun. Probab. 26 1 - 12, 2021. https://doi.org/10.1214/21-ECP392
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