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When size matters: subshifts and their related tiling spaces

Published online by Cambridge University Press:  01 August 2003

ALEX CLARK and
LORENZO SADUN
ALEX CLARK
Affiliation:
Department of Mathematics, University of North Texas, Denton, TX 76203, USA (e-mail: AlexC@unt.edu)
LORENZO SADUN
Affiliation:
Department of Mathematics, The University of Texas at Austin, Austin, TX 78712-1082, USA (e-mail: sadun@math.utexas.edu)
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Abstract

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We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamical properties may differ. We give criteria for such a tiling space to be weakly mixing, and for the dynamics of two such spaces to be topologically conjugate.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 4 , August 2003, pp. 1043 - 1057
Copyright
2003 Cambridge University Press