5 problems

Equipartition duality. Among all such states, the phase-equipartitioned product state, unique when it exists, simultaneously (i) maximizes the entropy, (ii) minimizes every within-…

Kovrizhkin's conjecture. The Logvinenko–Sereda theorem holds for this lacunary set $F^c$.

Let $c3_{risk}$ and $c3_{returns}$ denote the standard deviations of portfolio risk and returns, respectively, as defined in modern portfolio theory. Let $b6$ be a lower bound infl…

Wigderson's conjecture. The image of $\mathcal{F}_{p,2}^{(1)}$ is all of $\mathbb{R}_{>0}$.

Equality characterization conjecture. Equality in the N-volume inequality holds if and only if $A_1{}_0,\ldots,A_N{}_0$ are linearly dependent.