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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] SPACES OF SEQUENCE / [pt] ESPAÇOS DE SEQÜÊNCIAS

ANDRE DA ROCHA LOPES 25 April 2007 (has links)
[pt] Estudaremos dinâmicas simbólicas associadas a alfabetos finitos. Consideraremos seqüências bi-infinitas e espaços com memória finita. Estudaremos propriedades invariantes por conjugação. Analisaremos a relação entre os espaços de seqüências e propriedades de matrizes não negativas. O principal exemplo desta correlação é o Teorema de Perron- Frobenius que relaciona a entropia de um espaço de seqüências e os autovalores de uma matriz não negativa associada ao espaço. Neste contexto, certos grafos e suas propriedades aparecem de forma natural. / [en] We study symbolic dynamics associated to finite alphabets. We consider bi-infinite sequences and spaces with finite memory. We pay attention to properties which are invariant by conjugations. We analyze the relation between spaces of sequences and properties of non-negative matrices. The main example is given by the Perron-Frobenius theorem relating the entropy of a space of sequences and the eigerrvalues of a non-negative matrix associated to the space. In this setting, certain graphs and their properties appear in a natural way.

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