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2021 On general subtrees of a conditioned Galton–Watson tree
Svante Janson
Author Affiliations +
Electron. Commun. Probab. 26: 1-12 (2021). DOI: 10.1214/21-ECP392

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

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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

Information

Received: 12 November 2020; Accepted: 9 April 2021; Published: 2021
First available in Project Euclid: 23 April 2021

Digital Object Identifier: 10.1214/21-ECP392

Subjects:
Primary: 05C05, 60C05

JOURNAL ARTICLE
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