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- W2607467515 abstract "We introduce the concept of asymptotic period for an irreducible and aperiodic discrete-time Markov chain on a countable state space. If the chain is transient its asymptotic period may be larger than one. We present some sufficient conditions and, in the more restricted setting of birth-death processes, a necessary and sufficient condition for asymptotic aperiodicity. It is subsequently shown that a birth-death process has the strong ratio limit property if a related birth-death process is asymptotically aperiodic. In the general setting a similar statement is not true, but validity of the converse implication is posed as a conjecture." @default.
- W2607467515 created "2017-04-28" @default.
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- W2607467515 date "2017-03-01" @default.
- W2607467515 modified "2023-09-26" @default.
- W2607467515 title "Asymptotic period of an aperiodic Markov chain and the strong ratio limit property" @default.
- W2607467515 hasPublicationYear "2017" @default.
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