E. Dyakonova

collaborators

4 papers

math.PR2026

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…

math.PR2025

Limit theorems for critical branching processes in an extremely unfavorable random environment

Vladimir Vatutin, Elena Dyakonova

Let ${Z_{m}, m \geq 0}$ be a critical branching process in random environment and ${S_{m}, m \geq 0}$ be its associated random walk. Assuming that the increments distribution of th…

math.PR2025

Reduced critical branching processes in non-favorable random environment

V. A. Vatutin, E. E. Dyakonova

Let ${Z_{n}, n = 0, 1, 2, ...}$ be a critical branching process in i.i.d. random environment, $Z_{r, n}$ be the number of particles in the process at moment $0\leq r\leq n-…

math.PR2025

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…