The genealogy of Galton-Watson trees
Probability
2019-10-07 v5
Abstract
Take a continuous-time Galton-Watson tree and pick distinct particles uniformly from those alive at a time . What does their genealogical tree look like? The case has been studied by several authors, and the near-critical asymptotics for general appear in Harris, Johnston and Roberts (2018). Here we give the full picture.
Keywords
Cite
@article{arxiv.1709.08500,
title = {The genealogy of Galton-Watson trees},
author = {Samuel G. G. Johnston},
journal= {arXiv preprint arXiv:1709.08500},
year = {2019}
}
Comments
35 pages, 2 figures