Strong law of large number for branching hunt processes.

In this paper, we prove that, under certain conditions, a strong law of large number holds for a class of branching particle systems X corresponding to the parameters ( Y, β, ψ), where Y is a Hunt process and ψ is the generating function for the offspring. The main tool of this paper is the spine decomposition and we only need an Llog L condition. [ABSTRACT FROM AUTHOR]