Abstract
This chapter is devoted to the fundamental concept of irreducibility: the idea that all parts of the space can be reached by a Markov chain, no matter what the starting point. Although the initial results are relatively simple, the impact of an appropriate irreducibility structure will have wide-ranging consequences, and it is therefore of critical importance that such structures be well understood.
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© 1993 Springer-Verlag London Limited
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Meyn, S.P., Tweedie, R.L. (1993). Irreducibility. In: Markov Chains and Stochastic Stability. Communications and Control Engineering Series. Springer, London. https://doi.org/10.1007/978-1-4471-3267-7_4
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DOI: https://doi.org/10.1007/978-1-4471-3267-7_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-3269-1
Online ISBN: 978-1-4471-3267-7
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