Hi Soroban I think that your matrix multiplication is incorrect, for example by hand and in MATLAB I got P^(2n) = P^2 = [1 0 0;0 1/2 1/2;0 1/2 1/2] and P^(2n+1) = P^3 = [0 1/2 1/2 ; 1 0 0 ; 1 0 0]. But I now understand what it means to find the state distribution after an odd or even amount of steps. So thanks for that

Also what does it mean by the limit distribution (using the above results we have established) I can't seem to decrypt the notes but I have a feeling the limit distribution does not exist.. Not sure how to show this however.

Thanks for your fast reply Soroban.