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Spectral properties of substitutions on compact alphabets (2023)
Journal Article
Mañibo, N., Rust, D., & Walton, J. J. (2023). Spectral properties of substitutions on compact alphabets. Bulletin of the London Mathematical Society, 55(5), 2425-2445. https://doi.org/10.1112/blms.12872

We consider substitutions on compact alphabets and provide sufficient conditions for the diffraction to be pure point, absolutely continuous and singular continuous. This allows one to construct examples for which the Koopman operator on the associat... Read More about Spectral properties of substitutions on compact alphabets.