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Rigorous results for aperiodic and almost periodic substitution sequences

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dc.creator Pinho S. T. R.
dc.creator Lobão T. C. Petit
dc.date 2000
dc.date.accessioned 2013-05-30T00:33:10Z
dc.date.available 2013-05-30T00:33:10Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400026
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2000&volume=30&issue=4&spage=772
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/3116
dc.description 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.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Rigorous results for aperiodic and almost periodic substitution sequences


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