On the shape of the domain occupied by a supercritical branching random walk
A particle system on d is considered whose evolution is as follows. At each unit of time each particle independently is replaced by a new generation. The size of a new generation descending from a particle at site x has a distribution and each of its members independently jump to a neighbouring site with probability 1/2d. Let (T) be the set of the occupied sites at time T. The geometrical properties of (T) are studied.
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Volume (Year): 30 (1996)
Issue (Month): 4 (November)
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- Grill, Karl, 1996. "The range of simple branching random walk," Statistics & Probability Letters, Elsevier, vol. 26(3), pages 213-218, February.
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