(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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Aperiodicity of a Markov Chain

**Physics Forums | Science Articles, Homework Help, Discussion**