Aldous’ conjecture on a killed branching random walk

Hu, Yueyun. "Aldous’ conjecture on a killed branching random walk." Actes des rencontres du CIRM 2.1 (2010): 7-9. <http://eudml.org/doc/115853>.

@article{Hu2010,
abstract = {Consider a branching random walk on the real line with an killing barrier at zero: starting from a nonnegative point, particles reproduce and move independently, but are killed when they touch the negative half-line. The population of the killed branching random walk dies out almost surely in both critical and subcritical cases, where by subcritical case we mean that the rightmost particle of the branching random walk without killing has a negative speed and by critical case when this speed is zero. We investigate the total progeny of the killed branching random walk and give its precise tail distribution both in the critical and subcritical cases, which solves an open problem of D.Aldous.},
author = {Hu, Yueyun},
journal = {Actes des rencontres du CIRM},
language = {eng},
month = {12},
number = {1},
pages = {7-9},
publisher = {CIRM},
title = {Aldous’ conjecture on a killed branching random walk},
url = {http://eudml.org/doc/115853},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Hu, Yueyun
TI - Aldous’ conjecture on a killed branching random walk
JO - Actes des rencontres du CIRM
DA - 2010/12//
PB - CIRM
VL - 2
IS - 1
SP - 7
EP - 9
AB - Consider a branching random walk on the real line with an killing barrier at zero: starting from a nonnegative point, particles reproduce and move independently, but are killed when they touch the negative half-line. The population of the killed branching random walk dies out almost surely in both critical and subcritical cases, where by subcritical case we mean that the rightmost particle of the branching random walk without killing has a negative speed and by critical case when this speed is zero. We investigate the total progeny of the killed branching random walk and give its precise tail distribution both in the critical and subcritical cases, which solves an open problem of D.Aldous.
LA - eng
UR - http://eudml.org/doc/115853
ER -