  In this paper, we describe the relationship between the Perron root and
eigenvectors of an irreducible subshift of finite type with the correlation
between the forbidden words in the subshift. In particular, we derive an
expression for the Perron eigenvectors of the associated adjacency matrix. As
an application, we obtain the Perron eigenvectors for irreducible $(0,1)$
matrices which are adjacency matrices for directed graphs. Moreover, we derive
an alternate definition of the Parry measure in ergodic theory on an
irreducible subshift of finite type.
