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The symbolic dynamics of multidimensional tiling systems

Published online by Cambridge University Press:  22 September 2003

ETHAN M. COVEN ,
AIMEE JOHNSON ,
NATASA JONOSKA  and
KATHLEEN MADDEN
ETHAN M. COVEN
Affiliation:
Department of Mathematics, Wesleyan University, Middletown, CT 06459, USA (e-mail: ecoven@wesleyan.edu)
AIMEE JOHNSON
Affiliation:
Department of Mathematics and Statistics, Swarthmore College, Swarthmore, PA 19081, USA (e-mail: aimee@swarthmore.edu)
NATASA JONOSKA
Affiliation:
Department of Mathematics, University of South Florida, Tampa, FL 33620, USA (e-mail: jonoska@math.usf.edu)
KATHLEEN MADDEN
Affiliation:
Department of Mathematics and Computer Science, Drew University, Madison, NJ 07940, USA (e-mail: kmadden@drew.edu)
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Abstract

We prove a multidimensional version of the theorem that every shift of finite type has a power that can be realized as the same power of a tiling system. We also show that the set of entropies of tiling systems equals the set of entropies of shifts of finite type.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 447 - 460
Copyright
2003 Cambridge University Press

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