Subshifts of finite type which have completely positive entropy
Dynamical Systems
2012-01-04 v1
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.
Keywords
Cite
@article{arxiv.1201.0430,
title = {Subshifts of finite type which have completely positive entropy},
author = {Christopher Hoffman},
journal= {arXiv preprint arXiv:1201.0430},
year = {2012}
}
Comments
28 pages