Subcritical multitype branching process in random environment
Probability
2017-11-21 v1
Abstract
We study the asymptotic behaviour of the survival probability of a multitype branching process in random environment. The class of processes we consider here corresponds, in the one-dimensional situation, to the strongly subcritical case. We also prove a conditional limit theorem describing the distribution of the number of particles in the process given its survival for a long time.
Cite
@article{arxiv.1711.07453,
title = {Subcritical multitype branching process in random environment},
author = {Vladimir Vatutin and Vitali Wachtel},
journal= {arXiv preprint arXiv:1711.07453},
year = {2017}
}
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9 pages