Moran-Type Iterated Function Systems and Dimensions of Moran Self-Similar Sets
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911379312607232 |
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| author | Cao, Yong-Shen Deng, Qi-Rong Li, Ming-Tian |
| author_facet | Cao, Yong-Shen Deng, Qi-Rong Li, Ming-Tian |
| contents | Moran-type iterated function systems (Moran-type IFS or MIFS) are defined by a sequence of iterated function systems, and their basic theoretical framework is established. We define Moran-type attractors and invariant probability measures associated with a sequence of probability weight vectors. Furthermore, separation conditions for MIFS are introduced, and the dimension theory of Moran-type self-similar sets is investigated. Appropriate examples are provided to illustrate and support the definitions and results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11023 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Moran-Type Iterated Function Systems and Dimensions of Moran Self-Similar Sets Cao, Yong-Shen Deng, Qi-Rong Li, Ming-Tian Dynamical Systems 28A80, 28A78 Moran-type iterated function systems (Moran-type IFS or MIFS) are defined by a sequence of iterated function systems, and their basic theoretical framework is established. We define Moran-type attractors and invariant probability measures associated with a sequence of probability weight vectors. Furthermore, separation conditions for MIFS are introduced, and the dimension theory of Moran-type self-similar sets is investigated. Appropriate examples are provided to illustrate and support the definitions and results. |
| title | Moran-Type Iterated Function Systems and Dimensions of Moran Self-Similar Sets |
| topic | Dynamical Systems 28A80, 28A78 |
| url | https://arxiv.org/abs/2601.11023 |