Criterion of unlimited growth of critical multidimensional stochastic models
arXiv:1502.04046
Abstract
We give a criterion for unlimited growth with positive probability for a large class of multidimensional stochastic models. As a by-product, we recover the necessary and sufficient conditions for recurrence and transience for critical multitype Galton-Watson with immigration processes. We also significantly improve some results on multitype size-dependent Galton-Watson processes.
20 pages in Advances in Applied Probability 48.4 (December 2016)