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Harmonic functions for a class of Markov chains
Published online by Cambridge University Press: 09 April 2009
Abstract
A class of Markov chains is considered for which a certain property of the tail events makes bounded harmonic functions obtainable from bounded space-time harmonic functions. Applications to almost surely convergent Markov chains are given and, in particular, a representation of Martin-Doob-Hunt type is derived for all bounded harmonic functions of a finite mean supercritical branching process.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 28 , Issue 4 , December 1979 , pp. 413 - 422
- Copyright
- Copyright © Australian Mathematical Society 1979
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