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Canonical compactifications for Markov shifts
Published online by Cambridge University Press: 08 February 2012
Abstract
We give a complete characterization of the compact metric dynamical systems that appear as boundaries of the canonical compactification of a locally compact countable state mixing Markov shift. Consider such a compact metric dynamical system. Then there is a pair of non-conjugate Markov shifts with conjugate canonical compactifications, one of which has the given compact system as canonical boundary.
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- ©2012 Cambridge University Press
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