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Limiting point processes in the branching random walk

โœ Scribed by J. D. Biggins


Publisher
Springer
Year
1981
Tongue
English
Weight
274 KB
Volume
55
Category
Article
ISSN
1432-2064

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Random walk point processes
โœ D. J. Daley; D. Oakes ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Springer ๐ŸŒ English โš– 702 KB
The range of simple branching random wal
โœ Karl Grill ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

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 t