Showing 2024 · math.PRShow all
3 papers · 2 filters
math.PR2024
Asymptotic behavior for the quenched survival probability of a supercritical branching random walk in random environment with a barrier
You Lv, Wenming Hong
We introduce a random barrier to a supercritical branching random walk in an i.i.d. random environment indexed by time i.e., in each generation, only the i…
math.PR2024
Precise Large Deviations For The Total Population Of Heavy-Tailed Subcritical Branching Process With Immigration
Jiayan Guo, Wenming Hong
In this article we focus on the partial sum of the subcritical branching process with immigration , under the condition t…
math.PR2024
Precise Large Deviations for the Total Population of Heavy-tailed Critical Branching Processes with Immigration
Jiayan Guo, Wenming Hong
We focus on the partial sum of the critical branching process with immigration , when the offspring is regularly varying with index …