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dc.contributor.author
Cabrelli, Carlos  
dc.contributor.author
Hare, Kathryn E.  
dc.contributor.author
Molter, Ursula Maria  
dc.date.available
2019-01-24T18:37:22Z  
dc.date.issued
2010-11  
dc.identifier.citation
Cabrelli, Carlos; Hare, Kathryn E.; Molter, Ursula Maria; Classifying cantor sets by their fractal dimensions; American Mathematical Society; Proceedings of the American Mathematical Society; 138; 11; 11-2010; 3965-3974  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/68515  
dc.description.abstract
In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their h-Hausdorff and h-packing measures, for the family of dimension functions h, and characterize this classification in terms of the underlying sequences.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Cantor Set  
dc.subject
Cut-Out Set  
dc.subject
Hausdorff Dimension  
dc.subject
Packing Dimension  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Classifying cantor sets by their fractal dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-01-23T17:16:11Z  
dc.journal.volume
138  
dc.journal.number
11  
dc.journal.pagination
3965-3974  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Cabrelli, Carlos. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Hare, Kathryn E.. University of Waterloo; Canadá  
dc.description.fil
Fil: Molter, Ursula Maria. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0905.1980  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2010-138-11/S0002-9939-2010-10396-9/  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S0002-9939-2010-10396-9  

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