The range of simple branching random walk

Karl Grill

Statistics & Probability Letters, 1996, vol. 26, issue 3, 213-218

Abstract: 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.

Keywords: Branching; random; walk; Strong; limit; laws; Galton-Watson; processes; Random; walk (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (3)

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