Sums of Cantor sets

We find conditions on the ratios of dissection of a Cantor set so that the group it generates under addition has positive Lebesgue measure. In particular, we answer affirmatively a special case of a conjecture posed by J. Palis.

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Detalles Bibliográficos
Autores principales: Cabrelli, Carlos Alberto, Molter, Ursula Maria
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01433857_v17_n6_p1299_Cabrelli
http://hdl.handle.net/20.500.12110/paper_01433857_v17_n6_p1299_Cabrelli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01433857_v17_n6_p1299_Cabrelli
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spelling paper:paper_01433857_v17_n6_p1299_Cabrelli2023-06-08T15:11:49Z Sums of Cantor sets Cabrelli, Carlos Alberto Molter, Ursula Maria We find conditions on the ratios of dissection of a Cantor set so that the group it generates under addition has positive Lebesgue measure. In particular, we answer affirmatively a special case of a conjecture posed by J. Palis. Fil:Cabrelli, C.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Molter, U.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01433857_v17_n6_p1299_Cabrelli http://hdl.handle.net/20.500.12110/paper_01433857_v17_n6_p1299_Cabrelli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We find conditions on the ratios of dissection of a Cantor set so that the group it generates under addition has positive Lebesgue measure. In particular, we answer affirmatively a special case of a conjecture posed by J. Palis.
author Cabrelli, Carlos Alberto
Molter, Ursula Maria
spellingShingle Cabrelli, Carlos Alberto
Molter, Ursula Maria
Sums of Cantor sets
author_facet Cabrelli, Carlos Alberto
Molter, Ursula Maria
author_sort Cabrelli, Carlos Alberto
title Sums of Cantor sets
title_short Sums of Cantor sets
title_full Sums of Cantor sets
title_fullStr Sums of Cantor sets
title_full_unstemmed Sums of Cantor sets
title_sort sums of cantor sets
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01433857_v17_n6_p1299_Cabrelli
http://hdl.handle.net/20.500.12110/paper_01433857_v17_n6_p1299_Cabrelli
work_keys_str_mv AT cabrellicarlosalberto sumsofcantorsets
AT molterursulamaria sumsofcantorsets
_version_ 1768546623184437248

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