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Markov measures determine the zeta function

Published online by Cambridge University Press:  19 September 2008

Selim Tuncel
Selim Tuncel
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL, England
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Abstract

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With the purpose of understanding when two subshifts of finite type are equivalent from the point of view of their spaces of Markov measures we propose the notion of Markov equivalence. We show that a Markov equivalence must respect the cycles (periodic orbits) of the subshifts. In particular, Markov equivalent subshifts of finite type have the same zeta function.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 303 - 311
Copyright
Copyright © Cambridge University Press 1987

References

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