(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Transition matrix is

0 0 1

0 0 1

(1/3) (2/3) 0

"argue that this chain is aperiodic"

2. Relevant equations

definition of aperiodicity - there must exist a time n such that there is a non-zero probability of going from state i to state j for all i & j

3. The attempt at a solution

This definition doesn't seem to hold for my chain ... for example, to go from state 1 to state 2 n has to be odd.. but to go from state 1 to state 1 or 3 n has to be even..

Am I just getting this definition muddled up? Could someone elaborate on it for me? Thanks

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# Homework Help: Aperiodicity of a Markov Chain

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