Subshifts of finite type which have completely positive entropy

Details Subshifts of finite type which have completely positive entropy Subshifts of finite type which have completely positive entropy

2012-01-02

arxiv.org/abs/1201.0430v1

Discrete and Continuous Dynamical Systems (DCDS-A) Pages: 1497 - 1516, Volume: 29 , Issue: 4 , April 2011

Mathematics

Dynamical Systems

28 pages

Scientific paper

10.3934/dcds.2011.29.1497

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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