Slicing ${\ell }_p$-balls reloaded: stability, planar sections in ${\ell }_1$

Giorgos Chasapis, Piotr Nayar, Tomasz Tkocz

We show that the two-dimensional minimum-volume central section of the $n$-dimensional cross-polytope is attained by the regular $2n$-gon. We establish stability-type results for h…