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

Yinna Ye

doi:10.48550/arXiv.2607.04759

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

Yinna Ye^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article

Abstract

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

Original language	English
Number of pages	19
Journal	arXiv preprint
DOIs	https://doi.org/10.48550/arXiv.2607.04759
Publication status	Submitted - 6 Jul 2026

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10.48550/arXiv.2607.04759Licence: CC BY-NC-ND

Cite this

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title = "Limit theorems for strongly and intermediately supercritical branching processes in Markovian environment with linear fractional offspring distributions",

abstract = "In this paper, we study the asymptotic behaviour for distribution of supercritical branching process in a Markovian environment with linear fractional offspring distributions. A phase transition in the behaviour of the process is discovered, through investigating the strongly and intermediately supercritical cases.",

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