3 papers
math.PR2024
On the prospective minimum of the random walk conditioned to stay non-negative
Vladimir Vatutin, Elena Dyakonova
Let \begin{equation*} S_{0}=0,\quad S_{n}=X_{1}+...+X_{n},\ n\geq 1, \end{equation*} be a random walk whose increments belong without centering to the domain of attraction of a sta…
math.PR2019
Survival probability for a class of multitype subcritical branching processes in random environment
Vladimir Vatutin, Elena Dyakonova
We study the asymptotic behaviour of the survival probability of a multi-type branching processes in random environment. The class of processes we consider corresponds, in the one-…
math.PR2006
On the asymptotic behaviour of random recursive trees in random environment
Konstantin Borovkov, Vladimir Vatutin
We consider growing random recursive trees in random environment, in which at each step a new vertex is attached (by an edge of a random length) to an existing tree vertex accordin…