Llog⁡LL\log L condition for supercritical branching Hunt processes

preprint2010arXivOpen access

Abstract

In this paper we use the spine decomposition and martingale change of measure to establish a Kesten-Stigum Llog⁡LL\log L theorem for branching Hunt processes. This result is a generalization of the results in Asmussen-Hering (1976) and Hering (1978) for branching diffusions.

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