English

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

Probability 2010-09-24 v1

Abstract

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

Cite

@article{arxiv.1009.4481,
  title  = {$L\log L$ condition for supercritical branching Hunt processes},
  author = {Rong-Li Liu and Yan-Xia Ren and Renming Song},
  journal= {arXiv preprint arXiv:1009.4481},
  year   = {2010}
}
R2 v1 2026-06-21T16:17:50.903Z