A note on palindromicity

Details A note on palindromicity A note on palindromicity

1999-07-14

arxiv.org/abs/math-ph/9907011v1

Lett. Math. Phys. 49 (1999) 217-227.

Physics

Mathematical Physics

12 pages

Scientific paper

10.1023/A:1007678316583

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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