# Markov chain, periodic

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 60J10 [MSN][ZBL]

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.

#### Comments

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

**How to Cite This Entry:**

Markov chain, periodic.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Markov_chain,_periodic&oldid=21654

This article was adapted from an original article by V.P. Chistyakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article