  Lin and Wang defined a model of random walks on knot diagrams and interprete
the Alexnader polynomials and the colored Jones polynomials as Ihara zeta
functions, i.e. zeta functions defined by counting cycles on the knot diagram.
Using this explanation, they gave a more conceptual proof for the Melvin-Morton
conjecture. In this paper, we give an analogous zeta function expression for
the twisted Alexander invariants.
