Open Access
2018 A 2-spine decomposition of the critical Galton-Watson tree and a probabilistic proof of Yaglom’s theorem
Yan-Xia Ren, Renming Song, Zhenyao Sun
Electron. Commun. Probab. 23: 1-12 (2018). DOI: 10.1214/18-ECP143

Abstract

In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom’s theorem.

Citation

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Yan-Xia Ren. Renming Song. Zhenyao Sun. "A 2-spine decomposition of the critical Galton-Watson tree and a probabilistic proof of Yaglom’s theorem." Electron. Commun. Probab. 23 1 - 12, 2018. https://doi.org/10.1214/18-ECP143

Information

Received: 7 March 2018; Accepted: 17 June 2018; Published: 2018
First available in Project Euclid: 25 July 2018

zbMATH: 1394.60089
MathSciNet: MR3841403
Digital Object Identifier: 10.1214/18-ECP143

Subjects:
Primary: 60F05 , 60J80

Keywords: Galton-Watson process , Galton-Watson tree , martingale change of measure , spine decomposition , Yaglom’s theorem

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