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The survival probability of a weakly subcritical multitype branching process in iid random environment

Probability 2023-02-07 v3

Abstract

We study the asymptotic behavior of the probability of non extinction of a weakly subcritical multitype branching process in iid random environments. Under suitable assumptions, the survival probability is of order of ρnn3/2\rho^n n ^{-3/2} for some ρ(0,1)\rho \in (0, 1) to specify.

Keywords

Cite

@article{arxiv.2301.06932,
  title  = {The survival probability of a weakly subcritical multitype branching process in iid random environment},
  author = {M Peigné and C Pham},
  journal= {arXiv preprint arXiv:2301.06932},
  year   = {2023}
}