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2019 The genealogy of Galton-Watson trees
Samuel G.G. Johnston
Electron. J. Probab. 24: 1-35 (2019). DOI: 10.1214/19-EJP355

Abstract

Take a continuous-time Galton-Watson tree and pick $k$ distinct particles uniformly from those alive at a time $T$. What does their genealogical tree look like? The case $k=2$ has been studied by several authors, and the near-critical asymptotics for general $k$ appear in Harris, Johnston and Roberts (2018) [9]. Here we give the full picture.

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Samuel G.G. Johnston. "The genealogy of Galton-Watson trees." Electron. J. Probab. 24 1 - 35, 2019. https://doi.org/10.1214/19-EJP355

Information

Received: 5 March 2019; Accepted: 26 August 2019; Published: 2019
First available in Project Euclid: 13 September 2019

zbMATH: 07107401
MathSciNet: MR4003147
Digital Object Identifier: 10.1214/19-EJP355

Subjects:
Primary: 60J80
Secondary: 60J27, 60J85

JOURNAL ARTICLE
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Vol.24 • 2019
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