Abstract
In this chapter we consider stronger concepts of recurrence and link them with the dichotomy proved in Chapter 8. We also consider several obvious definitions of global and local recurrence and transience for chains on topological spaces, and show that they also link to the fundamental dichotomy.
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© 1993 Springer-Verlag London Limited
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Meyn, S.P., Tweedie, R.L. (1993). Harris and Topological Recurrence. In: Markov Chains and Stochastic Stability. Communications and Control Engineering Series. Springer, London. https://doi.org/10.1007/978-1-4471-3267-7_9
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DOI: https://doi.org/10.1007/978-1-4471-3267-7_9
Publisher Name: Springer, London
Print ISBN: 978-1-4471-3269-1
Online ISBN: 978-1-4471-3267-7
eBook Packages: Springer Book Archive