Rigorous results for aperiodic and almost periodic substitution sequences

Detalhes bibliográficos
Autor(a) principal: Pinho,S. T. R.
Data de Publicação: 2000
Outros Autores: Lobão,T. C. Petit
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400026
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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spelling Rigorous results for aperiodic and almost periodic substitution sequencesRecent 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.Sociedade Brasileira de Física2000-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400026Brazilian Journal of Physics v.30 n.4 2000reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332000000400026info:eu-repo/semantics/openAccessPinho,S. T. R.Lobão,T. C. Petiteng2002-01-09T00:00:00Zoai:scielo:S0103-97332000000400026Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2002-01-09T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Rigorous results for aperiodic and almost periodic substitution sequences
title Rigorous results for aperiodic and almost periodic substitution sequences
spellingShingle Rigorous results for aperiodic and almost periodic substitution sequences
Pinho,S. T. R.
title_short Rigorous results for aperiodic and almost periodic substitution sequences
title_full Rigorous results for aperiodic and almost periodic substitution sequences
title_fullStr Rigorous results for aperiodic and almost periodic substitution sequences
title_full_unstemmed Rigorous results for aperiodic and almost periodic substitution sequences
title_sort Rigorous results for aperiodic and almost periodic substitution sequences
author Pinho,S. T. R.
author_facet Pinho,S. T. R.
Lobão,T. C. Petit
author_role author
author2 Lobão,T. C. Petit
author2_role author
dc.contributor.author.fl_str_mv Pinho,S. T. R.
Lobão,T. C. Petit
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.
publishDate 2000
dc.date.none.fl_str_mv 2000-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400026
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400026
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332000000400026
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.30 n.4 2000
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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