The dimension of the set of $\psi$-badly approximable points in all ambient dimensions; on a question of Beresnevich and Velani

Henna Koivusalo, Jason Levesley, Benjamin Ward +1

Let $\psi :\mathbb{N}\to [0,\infty )$, $\psi (q)=q^{-(1+\tau )}$ and let $\psi$-badly approximable points be those vectors in ${\mathbb{R}}^d$ that are $\psi$-well approximable, but not $c\psi$-well ap…