02-351 David Damanik and Luca Q. Zamboni
Arnoux-Rauzy Subshifts: Linear Recurrence, Powers, and Palindromes (54K, LaTeX) Aug 19, 02
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Abstract. We consider Arnoux-Rauzy subshifts $X$ and study various combinatorial questions: When is $X$ linearly recurrent? What is the maximal power occurring in $X$? What is the number of palindromes of a given length occurring in $X$? We present applications of our combinatorial results to the spectral theory of discrete one-dimensional Schr\"odinger operators with potentials given by Arnoux-Rauzy sequences.

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