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arXiv · 2603.27640

Multifractal aspects of $\alpha$-expansions

Jörg Neunhäuserer
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Abstract

In \cite{[NE]} we introduce $\alpha$-expansions a real numbers in $(0,1]$, given by \[ \sum_{i=1}^{\infty}(\alpha-1)^{i-1}\alpha^{-(d_{1}+\dots+d_{i})}\] with $\alpha>1$ 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.

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Jörg Neunhäuserer. 2026-03-29. Multifractal aspects of $\alpha$-expansions. https://arxiv.org/abs/2603.27640

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