Aperiodic tilings and entropy

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.

References in corpus (1)

• Entropic commensurate-incommensurate transition

Cited by in corpus (3)

• Weakly and Strongly Aperiodic Subshifts of Finite Type on Baumslag-Solitar Groups
• Pattern Complexity of Aperiodic Substitutive Subshifts
• A Minimal Subsystem of the Kari-Culik Tilings