@article{EJP1770,
author = {Mariusz Bieniek and Krzysztof Burdzy and Soumik Pal},
title = {Extinction of Fleming-Viot-type particle systems with strong drift},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {17},
year = {2012},
keywords = {Fleming-Viot particle system; extinction},
abstract = {We consider a Fleming-Viot-type particle system consisting of independently moving particles that are killed on the boundary of a domain. At the time of death of a particle, another particle branches. If there are only two particles and the underlying motion is a Bessel process on $(0,\infty)$, both particles converge to 0 at a finite time if and only if the dimension of the Bessel process is less than 0. If the underlying diffusion is Brownian motion with a drift stronger than (but arbitrarily close to, in a suitable sense) the drift of a Bessel process, all particles converge to 0 at a finite time, for any number of particles.},
pages = {no. 11, 1-15},
issn = {1083-6489},
doi = {10.1214/EJP.v17-1770},
url = {http://ejp.ejpecp.org/article/view/1770}}