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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| 主要な著者: | , |
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| フォーマット: | 論文 |
| 言語: | English English |
| 出版事項: |
World Scientific Publishing Co. Pte Ltd
2016
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| 主題: | |
| オンライン･アクセス: | 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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| 要約: | 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. |
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