ON A CLASS OF RAUZY FRACTALS WITHOUT THE FINITENESS PROPERTY

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorPavan, Gustavo A.-
Data de aceite: dc.date.accessioned2021-03-11T01:16:58Z-
Data de disponibilização: dc.date.available2021-03-11T01:16:58Z-
Data de envio: dc.date.issued2019-10-04-
Data de envio: dc.date.issued2019-10-04-
Data de envio: dc.date.issued2019-07-01-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/185906-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/185906-
Descrição: dc.descriptionWe present some topological and arithmetical aspects of a class of Rauzy fractals R-a,R-b related to the polynomials of the form P-a,P-b(x) = x(3) - ax(2) - bx - 1, where a and b are integers satisfying -a + 1 <= b <= -2. This class has the property that 0 lies on the boundary of R-a,R-b. We construct explicit finite automata that recognize the boundaries of these fractals. This allows to establish the number of neighbors of R-a,R-b in the tiling it generates. Furthermore, we prove that if 2a + 3b + 4 <= 0 then R-a,R-b is not homeomorphic to a topological disk. We also show that the boundary of the set R-3,R--2 is generated by two infinite iterated function systems.-
Formato: dc.format577-599-
Idioma: dc.languageen-
Publicador: dc.publisherOsaka Journal Of Mathematics-
Relação: dc.relationOsaka Journal Of Mathematics-
Direitos: dc.rightsclosedAccess-
Título: dc.titleON A CLASS OF RAUZY FRACTALS WITHOUT THE FINITENESS PROPERTY-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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