The range of simple branching random walk

We consider simple branching random walk, i.e., a Galton-Watson process in which each particle, as it is created, may randomly perform a unit step to the left or right. We show that for a supercritical BRW, the set of occupied points is eventually an interval. In addition, we give a limit law for the number of particles in a point close to the border of the set of occupied points.

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Year of publication:	1996
Authors:	Grill, Karl
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 26.1996, 3, p. 213-218
Publisher:	Elsevier
Keywords:	Branching random walk Strong limit laws Galton-Watson processes Random walk

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005319135