On the unlimited growth of a class of homogeneous multitype Markov chains
González, Miguel ; Martínez, Rodrigo ; Mota, Manuel
Bernoulli, Tome 11 (2005) no. 1, p. 559-570 / Harvested from Project Euclid
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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.
Publié le : 2005-06-14
Classification:  homogeneous multitype Markov chains,  multitype branching processes,  unlimited growth 
@article{1120591189,
     author = {Gonz\'alez, Miguel and Mart\'\i nez, Rodrigo and Mota, Manuel},
     title = {On the unlimited growth of a class of homogeneous multitype Markov chains},
     journal = {Bernoulli},
     volume = {11},
     number = {1},
     year = {2005},
     pages = { 559-570},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120591189}
}

González, Miguel; Martínez, Rodrigo; Mota, Manuel. On the unlimited growth of a class of homogeneous multitype Markov chains. Bernoulli, Tome 11 (2005) no. 1, pp.  559-570. http://gdmltest.u-ga.fr/item/1120591189/