@article{Banaji_Rutar_2022, title={Attainable forms of intermediate dimensions}, volume={47}, url={https://afm.journal.fi/article/view/120529}, DOI={10.54330/afm.120529}, abstractNote={<pre>The intermediate dimensions are a family of dimensions which interpolate between the Hausdorff and box dimensions of sets. We prove a necessary and sufficient condition for a given function \(h(\theta)\) to be realized as the intermediate dimensions of a bounded subset of \(\mathbb{R}^d\). This condition is a straightforward constraint on the Dini derivatives of \(h(\theta)\), which we prove is sharp using a homogeneous Moran set construction.</pre> <p>&nbsp;</p>}, number={2}, journal={Annales Fennici Mathematici}, author={Banaji, Amlan and Rutar, Alex}, year={2022}, month={Jul.}, pages={939–960} }