@article{aed1a05a5c954fd6bcc893f809ff62bc,
title = "A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom{\textquoteright}s theorem",
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{\textquoteright}s theorem.",
keywords = "Galton-Watson process, Galton-Watson tree, Martingale change of measure, Spine decomposition, Yaglom{\textquoteright}s theorem",
author = "Ren, {Yan Xia} and Renming Song and Zhenyao Sun",
note = "Funding Information: *Peking University, China. E-mail: yxren@math.pku.edu.cn. The research of Yan-Xia Ren is supported in part by NSFC (Grant Nos. 11671017 and 11731009), and LMEQF. †University of Illinois at Urbana-Champaign, USA. E-mail: rsong@illinois.edu. The research of Renming Song is supported in part by the Simons Foundation (#429343, Renming Song). ‡Peking University, China. E-mail: zhenyao.sun@pku.edu.cn. Zhenyao Sun is supported by the China Scholarship Council. Corresponding author. Publisher Copyright: {\textcopyright} 2018, University of Washington. All rights reserved.",
year = "2018",
doi = "10.1214/18-ECP143",
language = "English (US)",
volume = "23",
journal = "Electronic Communications in Probability",
issn = "1083-589X",
publisher = "Institute of Mathematical Statistics",
}