Multifractal aspects of $α$-expansions
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917366161473536 |
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| author | Neunhäuserer, Jörg |
| author_facet | Neunhäuserer, Jörg |
| contents | In \cite{[NE]} we introduce $α$-expansions a real numbers in $(0,1]$, given by \[ \sum_{i=1}^{\infty}(α-1)^{i-1}α^{-(d_{1}+\dots+d_{i})}\] with $α>1$ and $d_{i}\in\mathbb{N}$ and discuss ergodic theoretical and dimension theoretical aspects of this expansions. In this sequel we study mutifractal aspects of this expansions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27640 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multifractal aspects of $α$-expansions Neunhäuserer, Jörg Dynamical Systems 11K55, 28A80 In \cite{[NE]} we introduce $α$-expansions a real numbers in $(0,1]$, given by \[ \sum_{i=1}^{\infty}(α-1)^{i-1}α^{-(d_{1}+\dots+d_{i})}\] with $α>1$ and $d_{i}\in\mathbb{N}$ and discuss ergodic theoretical and dimension theoretical aspects of this expansions. In this sequel we study mutifractal aspects of this expansions. |
| title | Multifractal aspects of $α$-expansions |
| topic | Dynamical Systems 11K55, 28A80 |
| url | https://arxiv.org/abs/2603.27640 |