Rigorous results for aperiodic and almost periodic substitution sequences

AUTOR(ES)

Pinho, S. T. R., Lobão, T. C. Petit

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2000-12

RESUMO

Recent studies of the effects of geometric fluctuations, associated with aperiodic exchange inter-actions, on the critical behavior of ferromagnetic Ising models on hierarchical lattices, were the motivation to investigate some properties of two-letter sequences generated by uniform substitutions. We rigorously identify the substitutions that generate either periodic or aperiodic (almost periodic or not) sequences. For instance, two known substitutions, the Thue-Morse and the period-doubling rules, generate aperiodic sequences of almost periodic type.

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