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https://doi.org/10.1142/9789814569842_0004Cited by:0 (Source: Crossref)
Abstract:

In this chapter our goal is to obtain a strong (a.s.) limit theorem for a spatial branching system, but with a new feature: the particles, besides moving and branching, now also interact with each other.

To this end, we introduce a branching Brownian motion (BBM) with 'attraction' or 'repulsion' between the particles.