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arXiv · 2607.04759

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

Yinna Ye
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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. A phase transition in the behaviour of the process is discovered, through investigating the strongly and intermediately strongly supercritical cases.

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Yinna Ye. 2026-07-06. Limit theorems for strongly and intermediately supercritical branching processes in Markovian environment with linear fractional offspring distributions. https://arxiv.org/abs/2607.04759

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