Utilize este identificador para referenciar este registo:
http://hdl.handle.net/11144/3119
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Maia, Bruno | - |
dc.date.accessioned | 2017-06-27T15:49:43Z | - |
dc.date.available | 2017-06-27T15:49:43Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 1468-9367 | - |
dc.identifier.uri | http://hdl.handle.net/11144/3119 | - |
dc.description.abstract | The -transformation of the unit interval is de ned by T (x) := x (mod 1). Its eventually periodic points are a subset of [0; 1] intersected with the eld extension Q( ). If > 1 is an algebraic integer of degree d > 1, then Q( ) is a Q-vector space isomorphic to Q d , therefore the intersection of [0; 1] with Q( ) is isomorphic to a domain in Q d . The transformation from this domain which is conjugate to the -transformation is called the companion map, given its connection to the companion matrix of 's minimal polynomial. The companion map and the proposed notation provide a natural setting to reformulate a classic result concerning the set of periodic points of the -transformation for Pisot numbers. It also allows to visualize orbits in a d-dimensional space. Finally, we refer connections with arithmetic codings and symbolic representations of hyperbolic toral automorphisms. | por |
dc.language.iso | eng | por |
dc.publisher | Taylor & Francis | por |
dc.rights | openAccess | por |
dc.subject | Beta-transformation | por |
dc.subject | companion matrix | por |
dc.subject | Pisot | por |
dc.subject | Salem | por |
dc.subject | periodic orbit | por |
dc.title | The beta-transformation's companion map for Pisot or Salem numbers and their periodic orbits | por |
dc.type | article | por |
degois.publication.firstPage | 1 | por |
degois.publication.lastPage | 9 | por |
degois.publication.title | Dynamical Systems: An International Journal | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://www.tandfonline.com/doi/abs/10.1080/14689367.2017.1288701 | por |
dc.identifier.doi | 10.1080/14689367.2017.1288701 | por |
Aparece nas colecções: | DCEE - Artigos/Papers |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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CompanionMap_BrunoMaia.pdf | 327,51 kB | Adobe PDF | Ver/Abrir |
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