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- W2904696509 abstract "So far, we have considered only atomic and discrete Markov chains. When the state space is not discrete, many Markov chains do not admit accessible atoms. Recall that a set C is an atom if each time the chain visits C, it regenerates, i.e., it leaves C under a probability distribution that is constant over C. If the state space does not possess an atom, we may require instead that the chain restart anew from C with some fixed probability (strictly less than one) that is constant over C. Then this property is satisfied by many more Markov chains. Such sets will be called small sets. The purpose of this chapter is to provide the first basic properties of Markov kernels that admit accessible small sets." @default.
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- W2904696509 date "2018-01-01" @default.
- W2904696509 modified "2023-10-01" @default.
- W2904696509 title "Small Sets, Irreducibility, and Aperiodicity" @default.
- W2904696509 doi "https://doi.org/10.1007/978-3-319-97704-1_9" @default.
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