# Markov chains: period of a state

Tags:
1. Nov 29, 2015

### mmarkov

Hello,

I am trying to understand the intuition of the definition of the period of a state in a Markov chain.

Say for example we can go from state i to state i in 3,5,7,9,11.... and so on steps.
The gcd here is one. So is this aperiodic state or one with periodicity of 2.

Thanks

2. Nov 30, 2015

### WWGD

Last edited: Nov 30, 2015