Nearly critical Galton--Watson processes

Péter Kevei, Kata Kubatovics

We investigate Galton--Watson processes in varying environment, for which ${\bar{f}}_n\uparrow 1$ and ${\sum }_{n=1}^{\infty }(1-{\bar{f}}_n)=\infty$, where ${\bar{f}}_n$ stands for the offsp…