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arXiv:1201.0430 [math.DS]AbstractReferencesReviewsResources

Subshifts of finite type which have completely positive entropy

Christopher Hoffman

Published 2012-01-02Version 1

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.

Comments: 28 pages
Journal: Discrete and Continuous Dynamical Systems (DCDS-A) Pages: 1497 - 1516, Volume: 29 , Issue: 4 , April 2011
Categories: math.DS
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