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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