Abstract
We consider a homogeneous multitype Markov chain whose states have non-negative integer coordinates, and give criteria for deciding whether or not the chain grows indefinitely with positive probability. The results are applied to study the extinction problem in a general class of controlled multitype branching processes.
Citation
Miguel González. Rodrigo Martínez. Manuel Mota. "On the unlimited growth of a class of homogeneous multitype Markov chains." Bernoulli 11 (3) 559 - 570, June 2005. https://doi.org/10.3150/bj/1120591189
Information