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PreprintCC BY-NC-ND 4.0arXiv

Limit theorems for supercritical branching processes in Markovian environment with linear fractional offspring distributions

  • Yinna Ye
  • Quansheng Liu
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Abstract

In this paper, we study the asymptotic behaviour for distribution of supercritical branching process in a Markovian environment with linear fractional offspring distributions. Phase transitions in the behaviour of the process is discovered, through investigating the strongly, intermediately and weakly supercritical cases.

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Cite

BibTeXRIS
BibTeX
@misc{ye2026limit,
  title = {{Limit theorems for supercritical branching processes in Markovian environment with linear fractional offspring distributions}},
  author = {Yinna Ye and Quansheng Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.04759},
  eprint = {2607.04759},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.04759},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Limit theorems for supercritical branching processes in Markovian environment with linear fractional offspring distributions
AU  - Yinna Ye
AU  - Quansheng Liu
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2607.04759
UR  - https://arxiv.org/abs/2607.04759
AB  - In this paper, we study the asymptotic behaviour for distribution of supercritical branching process in a Markovian environment with linear fractional offspring distributions. Phase transitions in the behaviour of the process is discovered, through investigating the strongly, intermediately and weakly supercritical cases.
ER  -