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

doi:10.1214/18-ECP143

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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Journal	Electronic Communications in Probability
Volume	23
DOIs	https://doi.org/10.1214/18-ECP143
Publication status	Published - 2018
Externally published	Yes

Keywords

Galton-Watson process
Galton-Watson tree
Martingale change of measure
Spine decomposition
Yaglom’s theorem

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10.1214/18-ECP143

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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",

year = "2018",

doi = "10.1214/18-ECP143",

language = "English",

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journal = "Electronic Communications in Probability",

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T1 - A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem

AU - Ren, Yan Xia

AU - Song, Renming

AU - Sun, Zhenyao

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Galton-Watson process

KW - Galton-Watson tree

KW - Martingale change of measure

KW - Spine decomposition

KW - Yaglom’s theorem

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U2 - 10.1214/18-ECP143

DO - 10.1214/18-ECP143

M3 - Article

AN - SCOPUS:85050931503

SN - 1083-589X

VL - 23

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

ER -

A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem

Abstract

Keywords

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