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The range of simple branching random walk

✍ Scribed by Karl Grill

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
202 KB
Volume
26
Category
Article
ISSN
0167-7152

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✦ Synopsis

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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