On the shape of the domain occupied by a supercritical branching random walk

P. Révész

Statistics & Probability Letters, 1996, vol. 30, issue 4, 295-303

Abstract: 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.

Keywords: Branching; random; walk; Strong; laws; Shape; properties (search for similar items in EconPapers)
Date: 1996
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