Kaboré, I., Tapsoba, T.: Combinatoire de mots récurrents decomplexité \(n 2\). Lind, D., Marcus, B.: An Introduction to Symbolic Dynamics and Coding. ![]() Cambridge University Press, New York (1995) Finite generation of the commutator subgroup. Let be a minimal aperiodic subshift over a finite alphabet. The aim of this section is to prove that every commutator subgroup of a Cantor minimal subshift is nitely generated, Theorem 0.0.3. Then has bounded powers if only if sup d inf are Lipschitz equivalent. ![]() By Lemma 2.2 we can assume that is a right-infinite subshift: if is bi-infinite we consider its right-infinite restriction , if is left-infinite we simply consider its right-infinite mirror image. Encyclopedia of Mathematics and Its Applications, vol. Lothaire, M.: Algebraic Combinatorics on Words, vol. Cambridge University Press, Cambridge (2002). two multiplicatively independent integers and A be a finite alphabet. Morse, M., Hedlund, G.A.: Symbolic dynamics II. A minimal subshift (X, T) is linearly recurren t if there exists a constan t K so that f o r eac h clop en set U generated by a nite w ord u the return time to U, with resp ect to T, is b. ![]() Abstract: We show that the measure of the spectrum of Schr\'odinger operator with potential defined by non-constant function over any minimal aperiodic finite subshift tends to zero, as the coupling constant tends to infinity. uniformly recurrent and generate the same minimal subshift, we call it the substi. We also obtained a quantitative upper bound for the measure of the spectrum. Puzynina, S., Zamboni, L.Q.: Abelian returns in Sturmian words. Richomme, G., Saari, K., Zamboni, L.Q.: Abelian complexity of minimal subshifts.
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