Attainable forms of lower spectra

Amlan Banaji, Haipeng Chen, Alex Rutar +1

Let $d\in \mathbb{N}$ and $\phi :(0,1)\to [0,d]$. We prove there exists a set $F\subset {\mathbb{R}}^d$ whose lower spectrum ${\dim }_{\mathrm{L}}^{\theta }F$ satisfies $(1-θ)\oper…