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Symbolic dynamics and semigroup theory

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 نشر من قبل Alfredo Costa
 تاريخ النشر 2018
  مجال البحث
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 تأليف Alfredo Costa




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A major motivation for the development of semigroup theory was, and still is, its applications to the study of formal languages. Therefore, it is not surprising that the correspondence $mathcal Xmapsto B(mathcal X)$, associating to each symbolic dynamical system $mathcal X$ the formal language $B(mathcal X)$ of its blocks, entails a connection between symbolic dynamics and semigroup theory. In this article we survey some developments on this connection, since when it was noticed in an article by Almeida, published in the CIM bulletin, in 2003.



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