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I'm especially interested in their use in model checking applications. I have Open, Closed and Mixed Networks of Queues with Different Classes of Customers by Baskett et al. Any other suggestions for reading material? Thanks.

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  • $\begingroup$ what exactly do you have in mind? Sampling or search applications? $\endgroup$ Aug 18, 2010 at 1:58
  • $\begingroup$ sorry, you've said model checking. I don't know much about that stuff, so I don't know which complexity metric is more important. It seems to me that for probabilistic model checking you need to know the stationary distribution, so maybe a survey on mixing times could be more useful. $\endgroup$ Aug 18, 2010 at 2:07
  • $\begingroup$ What are the types of tasks interesting with HMM for you? $\endgroup$ Jun 28, 2017 at 0:16

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There is this unpublished book by Aldous and Fill, two experts in the field. You'll find walks on product of chains there.

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