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Aperiodic tilings and entropy

Published 15 Dec 2013 in cs.LO and math.DS | (1312.4126v2)

Abstract: In this paper we present a construction of Kari-Culik aperiodic tile set - the smallest known until now. With the help of this construction, we prove that this tileset has positive entropy. We also explain why this result was not expected.

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