# Thread: Markov chaines periodic aperiodic

1. ## Markov chaines periodic aperiodic

How do we know whether they are periodic or aperiodic and how do we work out what is the periodicty.

Thanks.

2. Hello,

Have you read that : Markov chain - Wikipedia, the free encyclopedia ???

3. Im still confused

I have a matrix $\begin{array}{cccc}0.1&0.1&0&0.8\\0&0.9&0.1&0\\0&1 &0&0\\0.4&0&0&0.6\end{array}$

The classes are

{0} open
{1,2} closed
{3} open

4. a state is periodic if the probability of
returning to the state is zero except at regular intervals
eg if you go from 0 to 2 in a markov chain it should be the same number of steps to go from 2 to 0

Im still confused

I have a matrix $\begin{array}{cccc}0.1&0.1&0&0.8\\0&0.9&0.1&0\\0&1 &0&0\\0.4&0&0&0.6\end{array}$

The classes are

{0} open
{1,2} closed
{3} open