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On the geometric growth in a class of homogeneous multitype Markov chain
Published online by Cambridge University Press: 14 July 2016
Abstract
In this paper, we investigate the geometric growth of homogeneous multitype Markov chains whose states have nonnegative integer coordinates. Such models are considered in a situation similar to the supercritical case for branching processes. Finally, our general theoretical results are applied to a class of controlled multitype branching process in which the control is random.
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- © Applied Probability Trust 2005
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