Markov chain, periodic

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A non-decomposable homogeneous Markov chain , in which each state has period larger than 1, that is,

In a non-decomposable Markov chain (cf. Markov chain, non-decomposable) all states have the same period. If , then the Markov chain is called aperiodic.


Cf. also Markov chain and Markov chain, decomposable for references.

How to Cite This Entry:
Markov chain, periodic. Encyclopedia of Mathematics. URL:,_periodic&oldid=11752
This article was adapted from an original article by V.P. Chistyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article