Publication: Weak mixing and eigenvalues for arnoux-rauzy sequences
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Abstract
We define by simple conditions two wide subclasses of the socalled Arnoux-Rauzy systems; the elements of the first one share the property of (measure-theoretic) weak mixing, thus we generalize and improve a counterexample to the conjecture that these systems are codings of rotations; those of the second one have eigenvalues, which was known hitherto only for a very small set of examples.
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Complexity, Eigenvalues, Symbolic dynamics
Language
English
Citation
Annales de l'Institut Fourier, v. 58, n. 6, p. 1983-2005, 2008.
