d, ao. do > 0, xl = I is the largest eigenvalue and 1 > 12,13, 13, A6 > 0. From the standard theory of finite Markov chains (cf. section 2.12 in Ewens, 2004), if ri and fi are the corresponding right and left eigenvectors of M, normalized so that 6 ErA=1, i - for each i E (1. 2, 3, 4. 5, 6). then