D. Damanik, D. Lenz
Substitution Dynamical Systems: 
Characterization of Linear Repetitivity and Applications
(49K, Latex )

ABSTRACT.  We consider dynamical systems arising from substitutions over a finite 
alphabet. We prove that such a system is linearly repetitive if and 
only if it is minimal. Based on this characterization we extend 
various results from primitive substitutions to minimal substitutions. 
This includes applications to random Schr\"odinger operators and to 
number theory.