Some of the things I've learned every day since Oct 10, 2016
43: Aperiodicity of Markov Chains
November 22, 2016Posted by on
A state in a Markov chain is aperiodic iff there exists an such that
That is, a state is aperiodic if the chain can always loop back to this state in an arbitrary number of steps.
A Markov chain is aperiodic iff every state in the chain is aperiodic. If the chain is irreducible, then the existence of a single aperiodic state implies that the entire chain is aperiodic.