6 citations · 6 across the 12 of their papers we have counts for
6 papers · 1 filter
On multidimensional locally perturbed standard random walks
Congzao Dong, Alexander Iksanov, Andrey Pilipenko
Let be a positive integer and a set in , which contains finitely many points with integer coordinates. We consider a standard random walk perturbed on the…
Some functionals for random walks and critical branching processes in extreme random environment
Congzao Dong, Elena Dyakonova, Vladimir Vatutin
Let be a random walk whose increment distribution belongs without centering to the domain of attraction of an -stable law, i.e., there are som…
Set-valued recursions arising from vantage-point trees
Congzao Dong, Alexander Marynych, Ilya Molchanov
We study vantage-point trees constructed using an independent sample from the uniform distribution on a fixed convex body in , where is an…
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…
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_…
On a discrete approximation of a skew stable Lévy process
Congzao Dong, Oleksandr Iksanov, Andrey Pilipenko
Iksanov and Pilipenko (2023) defined a skew stable Lévy process as a scaling limit of a sequence of perturbed at symmetric stable Lévy processes (continuous-time processes). He…