Strong law of large number for branching Hunt processes

Li Wang

Strong law of large number for branching Hunt processes

Probability 2014-10-21 v1

Authors: Li Wang

Abstract

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 $(Y,\beta,\psi)$ , 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 a $L\log L$ condition.

Keywords

strong law of large numbers branching particle systems Hunt process spine decomposition $L\log L$ condition

Cite

@article{arxiv.1410.5054,
  title  = {Strong law of large number for branching Hunt processes},
  author = {Li Wang},
  journal= {arXiv preprint arXiv:1410.5054},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1009.4481 by other authors

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