6 problems

Kuperberg's mixed-base conjecture. There are unique constants

Log-squared weight conjecture. The weight satisfies

Let $\omega=\cup_{k=1}^N\omega_k$ be a multiply connected set, where the sets $\omega_k$, for $k=1,\dots,N$, are nonintersecting simply connected open domains with $C^{1,1}$ bounda…

Let $k,l\geq 2$ be distinct positive integers, and let $\{X_n\}_{n\geq 1}$ be a sequence of eigenfunctions lying in the same eigenspace of a Markov generator $\mathrm{\mathbf L}$ s…

Let $\{\widehat P_k(x)\}_{k=1}^n$ be a sequence of polynomials orthonormal with respect to a weight function $w(x)$ on an unbounded interval, and let $t_n$ be the large transition…

Slice-measure inequalities conjecture. The subnormality of $\mathbf{T}$ is determined by a countable collection of inequalities