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arXiv · 1201.0430

Subshifts of finite type which have completely positive entropy

Christopher Hoffman
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Abstract

Domino tilings have been studied extensively for both their statistical properties and their dynamical properties. We construct a subshift of finite type using matching rules for several types of dominos. We combine the previous results about domino tilings to show that our subshift of finite type has a measure of maximal entropy with which the subshift has completely positive entropy but is not isomorphic to a Bernoulli shift.

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Christopher Hoffman. 2012-01-02. Subshifts of finite type which have completely positive entropy. https://doi.org/10.3934/dcds.2011.29.1497

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