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The range of recurrent random walk in the plane

✍ Scribed by Naresh C. Jain; William E. Pruitt

Publisher
Springer
Year
1970
Tongue
English
Weight
596 KB
Volume
16
Category
Article
ISSN
1432-2064

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The range of simple branching random wal
The range of simple branching random walk
✍ Karl Grill πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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