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arXiv · 2003.11287

On substitution automorphisms with pure singular spectrum

Alexander I. Bufetov·Boris Solomyak
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Abstract

A sufficient condition for a substitution automorphism to have pure singular spectrum is given in terms of the top Lyapunov exponent of the associated spectral cocycle. As a corollary, singularity of the spectrum is established for an infinite family of self-similar interval exchange transformations.

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Alexander I. Bufetov, Boris Solomyak. 2020-03-25. On substitution automorphisms with pure singular spectrum. https://arxiv.org/abs/2003.11287

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