15 citations · 24 across the 19 of their papers we have counts for
20 papers
Population size of critical Galton-Watson processes under small deviations and infinite variance
Vladimir Vatutin, Elena Dyakonova
We study the evolution of the population size distribution of a critical Galton-Watson process with infinite variance of the offspring size of particles assuming that the populatio…
Limit theorems for critical branching processes in an extremely unfavorable random environment
Vladimir Vatutin, Elena Dyakonova
Let be a critical branching process in random environment and be its associated random walk. Assuming that the increments distribution of th…
Reduced critical branching processes in non-favorable random environment
V. A. Vatutin, E. E. Dyakonova
Let be a critical branching process in i.i.d. random environment, be the number of particles in the process at moment $0\leq r\leq n-…
Small deviations for critical Galton-Watson processes with infinite variance
Vladimir Vatutin, Elena Dyakonova, Yakubdjan Khusanbaev
We study the asymptotic behavior of small deviation probabilities for the critical Galton-Watson processes with infinite variance of the offspring sizes of particles and apply the…
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…
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…