2 papers
math.PR2025
Heavy-tailed critical Galton--Watson processes with immigration
Peter Kevei, Kata Kubatovics
Consider a critical Galton--Watson branching process with immigration, where the offspring distribution belongs to the domain of attraction of a -stable law with $α\in (…
math.PR2024
Functional limit theorem for branching processes in nearly degenerate varying environment
Peter Kevei, Kata Kubatovics
We investigate branching processes in nearly degenerate varying environment, where the offspring distribution converges to the degenerate distribution at 1. Such processes die out…