A Note on Palindromicity
Copyright policy )A Note on Palindromicity
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.
12 pages
- University of Tübingen Germany
Applications of operator theory in the physical sciences, FOS: Physical sciences, Linear difference operators, Mathematical Physics (math-ph), palindromes, singular continuous spectrum, Special sequences and polynomials, Discrete version of topics in analysis, Quasicrystals and aperiodic tilings in discrete geometry, Schrödinger operators, quasicrystals, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
Applications of operator theory in the physical sciences, FOS: Physical sciences, Linear difference operators, Mathematical Physics (math-ph), palindromes, singular continuous spectrum, Special sequences and polynomials, Discrete version of topics in analysis, Quasicrystals and aperiodic tilings in discrete geometry, Schrödinger operators, quasicrystals, Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis
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