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Isomorphism of hierarchical structures

Published online by Cambridge University Press:  06 August 2001

CHARLES RADIN  and
LORENZO SADUN
CHARLES RADIN
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USA (e-mail: {radin,sadun}@math.utexas.edu)
LORENZO SADUN
Affiliation:
Department of Mathematics, University of Texas, Austin, TX 78712, USA (e-mail: {radin,sadun}@math.utexas.edu)
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Abstract

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We consider hierarchical structures such as Fibonacci sequences and Penrose tilings, and examine the consequences of different choices for the definition of isomorphism. In particular, we discuss the role such a choice plays with regard to matching rules for such structures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 4 , August 2001 , pp. 1239 - 1248
Copyright
2001 Cambridge University Press