English

Approximation of the Height process of a CSBP with interaction

Probability 2019-12-03 v2

Abstract

In this work, we first show that the properly rescaled height process of the genealogical tree of a continuous time branching process converges to the height process of the genealogy of a (possibly discontinuous) continuous state branching process. We then prove the same type of result for generalized branching processes with interaction.

Keywords

Cite

@article{arxiv.1706.06892,
  title  = {Approximation of the Height process of a CSBP with interaction},
  author = {Ibrahima Drame and Etienne Pardoux},
  journal= {arXiv preprint arXiv:1706.06892},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1304.0710