@article{EJP955,
author = {Svante Janson and Götz Kersting},
title = {On the Total External Length of the Kingman Coalescent},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {coalescent, external branch, reversibility, urn model},
abstract = {We prove asymptotic normality of the total length of external branches in the Kingman coalescent. The proof uses an embedded Markov chain, which can be described as follows: Take an urn with black balls. Empty it step by step according to the rule: In each step remove a randomly chosen pair of balls and replace it by one red ball. Finally remove the last remaining ball. Then the numbers of red balls form a Markov chain with an unexpected property: It is time-reversible.},
pages = {no. 80, 2203-2218},
issn = {1083-6489},
doi = {10.1214/EJP.v16-955},
url = {http://ejp.ejpecp.org/article/view/955}}