Transactions of the American Mathematical Society

Author(s): Brenda Praggastis
Journal: Trans. Amer. Math. Soc. 351 (1999), 3315-3349.
MSC (1991): Primary 58F03, 34C35, 54H20
Posted: April 8, 1999
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Abstract: Using self similar tilings we represent the elements of $\mathbb{R}^n$ as digit expansions with digits in $\mathbb{R}^n$ being operated on by powers of an expansive linear map. We construct Markov partitions for hyperbolic toral automorphisms by considering a special class of self similar tilings modulo the integer lattice. We use the digit expansions inherited from these tilings to give a symbolic representation for the toral automorphisms.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 58F03, 34C35, 54H20

Brenda Praggastis
Affiliation: Department of Mathematics, University of Washington, Seattle, Washington 98195
Email: praggast@sprynet.com

DOI: 10.1090/S0002-9947-99-02360-0
PII: S 0002-9947(99)02360-0
Received by editor(s): October 2, 1996
Posted: April 8, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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