Generalized Classification Criteria
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We have now developed a number of simple criteria, solely involving the one step transition function, which enable us to classify quite general Markov chains. We have seen, for example, that the equivalences in Theorem 11.0.1, Theorem 13.0.1, or Theorem 15.0.1 give an effective approach to the analysis of many systems.
KeywordsBusy Period Invariant Probability Measure Countable Space Drift Condition Positive Recurrence
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