Abstract
Two results on palindromicity of bi-infinite words in a finite alphabet are presented. The first is a simple, but efficient criterion to exclude palindromicity of minimal sequences and applies, in particular, to the Rudin–Shapiro sequence. The second provides a constructive method to build palindromic minimal sequences based upon regular, generic model sets with centro-symmetric window. These give rise to diagonal tight-binding models in one dimension with purely singular continuous spectrum.
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Baake, M. A Note on Palindromicity. Letters in Mathematical Physics 49, 217–227 (1999). https://doi.org/10.1023/A:1007678316583
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DOI: https://doi.org/10.1023/A:1007678316583