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: JOUR
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00029939_v135_n10_p3151_Garcia
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spelling todo:paper_00029939_v135_n10_p3151_Garcia2023-10-03T13:55:09Z Dimension functions of Cantor sets Garcia, I. Molter, U. Scotto, R. Cantor sets Dimension function Hausdorff dimension Packing measure 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v135_n10_p3151_Garcia
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_00029939_v135_n10_p3151_Garcia
work_keys_str_mv AT garciai dimensionfunctionsofcantorsets
AT molteru dimensionfunctionsofcantorsets
AT scottor dimensionfunctionsofcantorsets
_version_ 1807318657698627584

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