Pure discrete spectrum in substitution tiling spaces

Marcy Barge; Sonja Štimac; R. F. Williams

doi:10.3934/dcds.2013.33.579

Article Contents

2013, Volume 33, Issue 2: 579-597. Doi: 10.3934/dcds.2013.33.579

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Pure discrete spectrum in substitution tiling spaces

1.
Department of Mathematics, Montana State University, Bozeman, MT 59717
2.
Department of Mathematics, University of Zagreb, Bijenička 30, 10 000 Zagreb
3.
Department of Mathematics, University of Texas, Austin, TX 78712

Received: June 30, 2011

Revised: March 31, 2012

Published: January 2013

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Abstract

We introduce a technique for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.

Keywords:

Mathematics Subject Classification: Primary: 37B50, 52C22, 52C23; Secondary: 37B05, 11R06.

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References

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