Exact packing measure of central Cantor sets in the line

Autores
Garcia, I.; Zuberman, L.
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density. © 2011 Elsevier Inc.
Fil:Zuberman, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Math. Anal. Appl. 2012;386(2):801-812
Materia
Cantor set
Hausdorff measure
Packing measure
Upper and lower density
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_0022247X_v386_n2_p801_Garcia
Acceder
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network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Exact packing measure of central Cantor sets in the lineGarcia, I.Zuberman, L.Cantor setHausdorff measurePacking measureUpper and lower densityIn this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density. © 2011 Elsevier Inc.Fil:Zuberman, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_GarciaJ. Math. Anal. Appl. 2012;386(2):801-812reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-04T09:48:40Zpaperaa:paper_0022247X_v386_n2_p801_GarciaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-04 09:48:42.38Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Exact packing measure of central Cantor sets in the line
title Exact packing measure of central Cantor sets in the line
spellingShingle Exact packing measure of central Cantor sets in the line
Garcia, I.
Cantor set
Hausdorff measure
Packing measure
Upper and lower density
title_short Exact packing measure of central Cantor sets in the line
title_full Exact packing measure of central Cantor sets in the line
title_fullStr Exact packing measure of central Cantor sets in the line
title_full_unstemmed Exact packing measure of central Cantor sets in the line
title_sort Exact packing measure of central Cantor sets in the line
dc.creator.none.fl_str_mv Garcia, I.
Zuberman, L.
author Garcia, I.
author_facet Garcia, I.
Zuberman, L.
author_role author
author2 Zuberman, L.
author2_role author
dc.subject.none.fl_str_mv Cantor set
Hausdorff measure
Packing measure
Upper and lower density
topic Cantor set
Hausdorff measure
Packing measure
Upper and lower density
dc.description.none.fl_txt_mv In this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density. © 2011 Elsevier Inc.
Fil:Zuberman, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description In this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density. © 2011 Elsevier Inc.
publishDate 2012
dc.date.none.fl_str_mv 2012
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
url http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv J. Math. Anal. Appl. 2012;386(2):801-812
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.623145

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