Exact packing measure of central Cantor sets in the line

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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...

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Detalles Bibliográficos
Autores principales: Garcia, I., Zuberman, L.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2012
Materias:
Cantor set
Hausdorff measure
Packing measure
Upper and lower density
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_0022247X_v386_n2_p801_Garcia
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spelling paperaa:paper_0022247X_v386_n2_p801_Garcia2023-06-12T16:44:12Z Exact packing measure of central Cantor sets in the line J. Math. Anal. Appl. 2012;386(2):801-812 Garcia, I. Zuberman, L. Cantor set Hausdorff measure Packing measure Upper and lower density 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. 2012 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Cantor set
Hausdorff measure
Packing measure
Upper and lower density
spellingShingle Cantor set
Hausdorff measure
Packing measure
Upper and lower density
Garcia, I.
Zuberman, L.
Exact packing measure of central Cantor sets in the line
topic_facet Cantor set
Hausdorff measure
Packing measure
Upper and lower density
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.
format Artículo
Artículo
publishedVersion
author Garcia, I.
Zuberman, L.
author_facet Garcia, I.
Zuberman, L.
author_sort Garcia, I.
title Exact packing measure of central Cantor sets in the line
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
publishDate 2012
url http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
work_keys_str_mv AT garciai exactpackingmeasureofcentralcantorsetsintheline
AT zubermanl exactpackingmeasureofcentralcantorsetsintheline
_version_ 1769810275277471744

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