Mostrar el registro sencillo del ítem
dc.contributor.author
Fraser, Jonathan
dc.contributor.author
Shmerkin, Pablo Sebastian
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.date.available
2018-07-26T21:35:32Z
dc.date.issued
2016-12
dc.identifier.citation
Fraser, Jonathan; Shmerkin, Pablo Sebastian; On the dimensions of a family of overlapping self-affine carpets; Cambridge University Press; Ergodic Theory And Dynamical Systems; 36; 8; 12-2016; 2463-2481
dc.identifier.issn
0143-3857
dc.identifier.uri
http://hdl.handle.net/11336/53255
dc.description.abstract
We consider the dimensions of a family of self-affine sets related to the Bedford-McMullen carpets. In particular, we fix a Bedford-McMullen system and then randomise the translation vectors with the stipulation that the column structure is preserved. As such, we maintain one of the key features in the Bedford-McMullen set up in that alignment causes the dimensions to drop from the affinity dimension. We compute the Hausdorff, packing and box dimensions outside of a small set of exceptional translations, and also for some explicit translations even in the presence of overlapping. Our results rely on, and can be seen as a partial extension of, M. Hochman´s recent work on the dimensions of self-similar sets and measures.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Self-Affine Carpet
dc.subject
Hausdorff Dimension
dc.subject
Packing Dimension
dc.subject
Box Dimension
dc.subject
Overlaps
dc.subject.classification
Matemática Pura
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.subject.classification
Matemáticas
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.title
On the dimensions of a family of overlapping self-affine carpets
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-25T13:54:30Z
dc.journal.volume
36
dc.journal.number
8
dc.journal.pagination
2463-2481
dc.journal.pais
Reino Unido
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.journal.ciudad
Cambridge
dc.description.fil
Fil: Fraser, Jonathan. University of Manchester; Reino Unido
dc.description.fil
Fil: Shmerkin, Pablo Sebastian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina
dc.journal.title
Ergodic Theory And Dynamical Systems
![Se ha confirmado la validez de este valor de autoridad por un usuario](/themes/CONICETDigital/images/authority_control/invisible.gif)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/div-classtitleon-the-dimensions-of-a-family-of-overlapping-self-affine-carpetsdiv/1D8911F0FA764104328BC41A235603D5
Archivos asociados