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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Year of publication:	1996
Authors:	Révész, P.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 30.1996, 4, p. 295-303
Publisher:	Elsevier
Keywords:	Branching random walk Strong laws Shape properties

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254199