V. Vatutin

activity

20062026

most citedBranching processes in random environment which extinct at a given moment

15 citations · 15 across the 11 of their papers we have counts for

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Showing 2025 · math.PRShow all

3 papers · 2 filters

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…