Two-symbol Pisot substitutions have pure discrete spectrum

Michael Hollander; Boris Solomyak

doi:10.1017/s0143385702001384

Two-symbol Pisot substitutions have pure discrete spectrum

Michael Hollander, Boris Solomyak

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We show that any Pisot substitution dynamical system on two symbols has pure discrete spectrum. This follows from an analysis of a combinatorial 'balanced pair algorithm', in view of recent progress on the Strong Coincidence Conjecture made by Barge and Diamond.

Original language	English
Pages (from-to)	533-540
Number of pages	8
Journal	Ergodic Theory and Dynamical Systems
Volume	23
Issue number	2
DOIs	https://doi.org/10.1017/s0143385702001384
State	Published - Apr 2003
Externally published	Yes

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title = "Two-symbol Pisot substitutions have pure discrete spectrum",

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Two-symbol Pisot substitutions have pure discrete spectrum

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