Zeta functions and topological entropy of the Markov-Dyck shifts

Kengo Matsumoto; Wolfgang Krieger

arxiv: 0706.3262 · v1 · pith:E5IPHERMnew · submitted 2007-06-22 · 🧮 math.DS · math.OA

Zeta functions and topological entropy of the Markov-Dyck shifts

Wolfgang Krieger , Kengo Matsumoto This is my paper

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keywords markov-dyckzetaentropyexpressionfunctionskellershiftshifts

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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, {\it Circular codes, loop counting, and zeta-functions}, J. Combinatorial Theory {\bf 56} (1991), pp. 75--83). For a class of examples that includes the Fibonacci-Dyck shift the zeta functions and topological entropy ae determined.

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Zeta functions and topological entropy of the Markov-Dyck shifts

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