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Corrections to ‘Dynamics of self-similar tilings’ Ergod. Th. & Dynam. Sys.17 (1997), 695–738

Published online by Cambridge University Press:  01 December 1999

BORIS SOLOMYAK
BORIS SOLOMYAK
Affiliation:
Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195, USA (e-mail: solomyak@math.washington.edu)
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Abstract

Lemma 2.2 on p. 704 was quoted from the Ph.D. thesis of B. Praggastis [2, 1.4] incorrectly. The local isomorphism property ($=$ repetitivity) of a $\phi$-subdividing tiling does imply that the subdivision matrix $M$ is primitive (that is, $M^k>0$ for some $k\ge1$), however, the converse is false, in general. I am grateful to A. E. Robinson Jr. who showed me a counter-example.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999 , pp. 1685
Copyright
1999 Cambridge University Press

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