David Damanik and Luca Q. Zamboni
Arnoux-Rauzy Subshifts: Linear Recurrence, Powers, and Palindromes
(54K, LaTeX)
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.