The structure of Lonely Runner spectra

Vikram Giri, Noah Kravitz

For each subtorus $T$ of $(\mathbb{R}/\mathbb{Z}{)}^n$, let $D(T)$ denote the (infimal) $L^{\infty }$-distance from $T$ to the point $(1/2,\dots ,1/2)$. The $n$-th Lonely Runner spectr…