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The spectra of topological Markov shifts
Published online by Cambridge University Press: 19 September 2008
Abstract
For every Perron number λ we construct an infinite collection of topological Markov shifts with entropy log λ whose spectra are disjoint except for the necessary conjugates of λ. This is used to show that Marcus' theorem about every Markov shift of entropy log n factoring onto the full n-shift does not extend to certain entropy values.
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- Copyright © Cambridge University Press 1986
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