Limit theorems for supercritical branching processes in Markovian environment with linear fractional offspring distributions
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Ye, Yinna, Liu, Quansheng
Institution: Xi’an Jiaotong-Liverpool University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167639931