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On a generalized self-similarity in the p-Adic field

In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions {fi}i=1N on the unit ball â&;p of p-Adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconne...

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Main Authors: Mukhamedov, Farrukh M., Khakimov, Otabek
Format: Article
Language:English
English
Published: World Scientific Publishing Co. Pte Ltd 2016
Subjects:
QA Mathematics
QA273 Probabilities
Online Access:http://irep.iium.edu.my/58854/1/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_article.pdf
http://irep.iium.edu.my/58854/2/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_scopus.pdf
http://irep.iium.edu.my/58854/
http://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500419
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spelling my.iium.irep.588542017-10-21T07:30:17Z http://irep.iium.edu.my/58854/ On a generalized self-similarity in the p-Adic field Mukhamedov, Farrukh M. Khakimov, Otabek QA Mathematics QA273 Probabilities In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions {fi}i=1N on the unit ball â&;p of p-Adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconnected. Moreover, we provide an example of two contractions for which the corresponding unconventional limiting set is quasi-symmetrically equivalent to the symbolic Cantor set. World Scientific Publishing Co. Pte Ltd 2016-12 Article REM application/pdf en http://irep.iium.edu.my/58854/1/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_article.pdf application/pdf en http://irep.iium.edu.my/58854/2/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_scopus.pdf Mukhamedov, Farrukh M. and Khakimov, Otabek (2016) On a generalized self-similarity in the p-Adic field. Fractals, 24 (4). 1650041-1-1650041-11. ISSN 0218-348X http://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500419 10.1142/S0218348X16500419
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
topic QA Mathematics
QA273 Probabilities
spellingShingle QA Mathematics
QA273 Probabilities
Mukhamedov, Farrukh M.
Khakimov, Otabek
On a generalized self-similarity in the p-Adic field
description In the present paper, we introduce a new set which defines a generalized self-similar set for contractive functions {fi}i=1N on the unit ball â&;p of p-Adic numbers. This set is called unconventional limit set. We prove that the unconventional limit set is compact, perfect and uniformly disconnected. Moreover, we provide an example of two contractions for which the corresponding unconventional limiting set is quasi-symmetrically equivalent to the symbolic Cantor set.
format Article
author Mukhamedov, Farrukh M.
Khakimov, Otabek
author_facet Mukhamedov, Farrukh M.
Khakimov, Otabek
author_sort Mukhamedov, Farrukh M.
title On a generalized self-similarity in the p-Adic field
title_short On a generalized self-similarity in the p-Adic field
title_full On a generalized self-similarity in the p-Adic field
title_fullStr On a generalized self-similarity in the p-Adic field
title_full_unstemmed On a generalized self-similarity in the p-Adic field
title_sort on a generalized self-similarity in the p-adic field
publisher World Scientific Publishing Co. Pte Ltd
publishDate 2016
url http://irep.iium.edu.my/58854/1/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_article.pdf
http://irep.iium.edu.my/58854/2/58854_On%20a%20generalized%20self-similarity%20in%20the%20p-Adic%20field_scopus.pdf
http://irep.iium.edu.my/58854/
http://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500419
_version_ 1643615452017983488
score 13.222552

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