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

✍ Scribed by P. Révész

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
277 KB
Volume
30
Category
Article
ISSN
0167-7152

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✦ Synopsis

A particle system on Z 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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