Dimension functions of Cantor sets

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We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets. © 2007 American Mathematical Socie...

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Autores principales: Garcia, I., Molter, U., Scotto, R.
Formato: Artículo publishedVersion
Publicado: 2007
Materias:
Cantor sets
Dimension function
Hausdorff dimension
Packing measure
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v135_n10_p3151_Garcia
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00029939_v135_n10_p3151_Garcia_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
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spelling I28-R145-paper_00029939_v135_n10_p3151_Garcia_oai2024-08-16 Garcia, I. Molter, U. Scotto, R. 2007 We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets. © 2007 American Mathematical Society. Fil:Molter, U. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_00029939_v135_n10_p3151_Garcia info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Proc. Am. Math. Soc. 2007;135(10):3151-3161 Cantor sets Dimension function Hausdorff dimension Packing measure Dimension functions of Cantor sets info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00029939_v135_n10_p3151_Garcia_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Cantor sets
Dimension function
Hausdorff dimension
Packing measure
spellingShingle Cantor sets
Dimension function
Hausdorff dimension
Packing measure
Garcia, I.
Molter, U.
Scotto, R.
Dimension functions of Cantor sets
topic_facet Cantor sets
Dimension function
Hausdorff dimension
Packing measure
description We estimate the packing measure of Cantor sets associated to nonincreasing sequences through their decay. This result, dual to one obtained by Besicovitch and Taylor, allows us to characterize the dimension functions recently found by Cabrelli et al for these sets. © 2007 American Mathematical Society.
format Artículo
Artículo
publishedVersion
author Garcia, I.
Molter, U.
Scotto, R.
author_facet Garcia, I.
Molter, U.
Scotto, R.
author_sort Garcia, I.
title Dimension functions of Cantor sets
title_short Dimension functions of Cantor sets
title_full Dimension functions of Cantor sets
title_fullStr Dimension functions of Cantor sets
title_full_unstemmed Dimension functions of Cantor sets
title_sort dimension functions of cantor sets
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_00029939_v135_n10_p3151_Garcia
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00029939_v135_n10_p3151_Garcia_oai
work_keys_str_mv AT garciai dimensionfunctionsofcantorsets
AT molteru dimensionfunctionsofcantorsets
AT scottor dimensionfunctionsofcantorsets
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