The genealogy of Galton-Watson trees

Samuel Johnston

doi:10.1214/19-EJP355

The genealogy of Galton-Watson trees

Samuel Johnston

Department of Mathematical Sciences

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

13 Citations (SciVal)

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.

Original language	English
Pages (from-to)	1
Number of pages	35
Journal	Electronic Journal of Probability
Volume	24
DOIs	https://doi.org/10.1214/19-EJP355
Publication status	Published - 3 Oct 2019

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10.1214/19-EJP355Licence: CC BY

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The genealogy of Galton-Watson trees

Abstract

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