5 problems

Wigderson–Xiao's conjecture. The bound $2d\exp(-Cu^2)$ should be replaceable by

Let $p$ and $\frac{p}{2}\leq \ell < \frac{3p}{4}$ be as in the Kikuchi-matrix detection method, and let $c(p,\ell)$ denote its detection-threshold constant. WEM19's conjecture. An…

Natural-parameter conjecture. There exist bounds of the kind studied in the paper in which $v(X)$ is replaced by the natural parameter $d70e_*(X)$.

Chernoff bounds concern exponentially decreasing tail bounds for sums of independent random variables. In this setting, the random variables are matrix-valued and have Markov depen…

Let $\mathsfsl{A},\mathsfsl{B},\mathsfsl{C}\in\mathbb{H}^{d}$ be Hermitian matrices, let $q$ be a positive integer, and let $s>0$. For a Hermitian matrix $\mathsfsl{X}$, write…