Branching processes in random environment with sibling dependence

V. A. Vatutin, E. E. Dyakonova

Published 2018-12-26Version 1

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 all particles of the given generation and on the number of relatives of the particle. We study the asymptotic behavior of the survival probability of the population up to a distant moment n under some restrictions on the properties of the environment and family ties.