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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World Scientific Publishing Co. Pte Ltd
2016
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| Online Access: | http://irep.iium.edu.my/58854/ http://irep.iium.edu.my/58854/ http://irep.iium.edu.my/58854/ 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 |
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iium-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 PeerReviewed 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 E-ISSN 1793-6543 http://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500419 10.1142/S0218348X16500419 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| 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/ http://irep.iium.edu.my/58854/ http://irep.iium.edu.my/58854/ 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 |
| first_indexed |
2023-09-18T21:23:17Z |
| last_indexed |
2023-09-18T21:23:17Z |
| _version_ |
1777412024360239104 |