2 problems

Let $K\subseteq\mathbb{R}^n$ be a convex set, and for $r>0$ let … be its shell-density function, where $\mathbb{S}^{n-1}_r=\{x\in\mathbb{R}^n:\lVert x\rVert_2=r\}$. Shell-density c…

Dimension-free transportation approximation conjecture. A dimension-free analogue of the cited transportation-structure theorem should hold; combined with the paper's bound, this w…