Strong law of large number for branching Hunt processes. (English) Zbl 1318.60037
Summary: In this paper, we prove that, under certain conditions, a strong law of large numbers holds for a class of branching particle systems \(X\) corresponding to the parameters (\(Y\), \(\beta\), \(\psi\)), where \(Y\) is a Hunt process and \(\psi\) is the generating function for the offspring. The main tool of this paper is the spine decomposition and we only need an \(L \log L\) condition.
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