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The spectra of topological Markov shifts

Published online by Cambridge University Press:  19 September 2008

D. A. Lind
D. A. Lind
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195, USA
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 4 , December 1986 , pp. 571 - 582
Copyright
Copyright © Cambridge University Press 1986

References

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