Zeta functions and topological entropy of the Markov-Dyck shifts [article]

Wolfgang Krieger, Kengo Matsumoto
2007 arXiv   pre-print
The Markov-Dyck shifts arise from finite directed graphs. An expression for the zeta function of a Markov-Dyck shift is given. The derivation of this expression is based on a formula in Keller (G. Keller, Circular codes, loop counting, and zeta-functions, J. Combinatorial Theory 56 (1991), pp. 75--83). For a class of examples that includes the Fibonacci-Dyck shift the zeta functions and topological entropy ae determined.
arXiv:0706.3262v1 fatcat:oyokjrefxfhzjo33rm5qhh6zhm