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Critical Branching Regenerative Processes with Migration

Probability 2007-05-23 v1

Abstract

This paper demonstrates a new regeneration processes technology making use of positive stable distributions. We study the asymptotic behavior of branching processes with a randomly controlled migration component. Using the new method, we confirm some known results and establish new limit theorems that hold in a more general setting.

Keywords

Cite

@article{arxiv.math/0602261,
  title  = {Critical Branching Regenerative Processes with Migration},
  author = {George P. Yanev and Kosto V. Mitov and Nickolay M. Yanev},
  journal= {arXiv preprint arXiv:math/0602261},
  year   = {2007}
}