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.