2 papers
math.PR2023
Critical branching processes in a sparse random environment
Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1
We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the cr…
math.PR2023
Random walks conditioned to stay non-negative and branching processes in non-favorable random environment
Congzao Dong, Elena Dyakonova, Vladimir Vatutin
Let be a random walk whose increments belong without centering to the domain of attraction of an -stable law , i.e. $S_{nt}/a_n\Rightarrow Y_…