$L\log L$ condition for supercritical branching Hunt processes

Details $L\log L$ condition for supercritical branching Hunt processes $L\log L$ condition for supercritical branching Hunt processes

2010-09-22

arxiv.org/abs/1009.4481v1

Mathematics

Probability

Scientific paper

In this paper we use the spine decomposition and martingale change of measure
to establish a Kesten-Stigum $L\log L$ 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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