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20122022
most citedCritical branching processes evolving in an unfavorable random environment

3 citations · 6 across the 6 of their papers we have counts for

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Showing math.PRShow all

7 papers · 1 filter

math.PR20223 cited

Critical branching processes evolving in an unfavorable random environment

Vladimir Vatutin, Elena Dyakonova

Let be a critical branching process in random environment and let be its associated random walk. It is kno…

math.PR2020

Properties of multitype subcritical branching processes in random environment

Vladimir Vatutin, Elena Dyakonova

We study properties of a type subcritical branching process in random environment initiated at moment zero by a vector \ of particles…

math.PR20192 cited

Branching processes in random environment with immigration stopped at zero

Elena Dyakonova, Doudou Li, Vladimir Vatutin +1

A critical branching process with immigration which evolve in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the abor…

math.PR2018

Branching processes in random environment with sibling dependence

V. A. Vatutin, E. E. Dyakonova

We consider a population of particles with unit life length. Dying each particle produces offspring whose size depends on the random environment specifying the reproduction law of…

math.PR2016

Path to survival for the critical branching processes in a random environment

Vladimir Vatutin, Elena Dyakonova

A critical branching process in a random environment is considered. A conditional functional limit theorem for the properly scaled process $\le…

math.PR20151 cited

Decomposable branching processes having a fixed extinction moment

Vladimir Vatutin, Elena Dyakonova

The asymptotic behavior, as of the probability of the event that a decomposable critical branching process $m=0,1,2,…