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Markov measures determine the zeta function
Published online by Cambridge University Press: 19 September 2008
Abstract
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.
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- Copyright © Cambridge University Press 1987
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