Ergodic Theory and Dynamical Systems



Isomorphism of hierarchical structures


CHARLES RADIN a1 and LORENZO SADUN a1
a1 Department of Mathematics, University of Texas, Austin, TX 78712, USA (e-mail: {radin,sadun}@math.utexas.edu)

Abstract

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.

(Received June 30 1998)
(Revised June 18 2000)