Dimension-free estimates for covering functionals of simplices and ${\ell }_p$ balls

Feifei Chen, Chan He, Senlin Wu

We study \(Γ_{2^n}(K)\), the least positive number \(γ>0\) such that an \(n\)-dimensional convex body \(K\) can be covered by \(2^n\) translates of \(γK\). For \(n\)-simplices \…