The genealogy of Galton-Watson trees

Samuel Johnston

Research output: Contribution to journalArticlepeer-review

5 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 languageEnglish
Pages (from-to)1
Number of pages35
JournalElectronic Journal of Probability
Volume24
DOIs
Publication statusPublished - 3 Oct 2019

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