5 problems

Two-set p-capacity factorisation conjecture.

IIC hitting conjecture.

Let $\{X_{n,i};i=1,\ldots,k_n\}$ be an array of independent random variables in the sub-linear expectation space $(\Omega,\mathscr{H},\widehat{\mathbb E})$ with … Let $x_n$ be a se…

Algebraic Weyl law.

Let $d\geq 2$, let $0<s<d$ with $s\notin\mathbf{N}$, and let $E\subset\mathbf{R}^d$ be compact. For a gauge $\Phi$, let $\operatorname{cap}_{\Phi,s}(E)$ denote the associated nonli…