4 problems

Let $(\mathcal{M},\rho)$ be a quantum probability space, and let $A_1,\ldots,A_k$ be self-adjoint elements with mean $0$ and symmetric covariance matrix. For each $t$, write … and…

Equality conjecture. For each fixed $g\in{\cal G}$,

Let $A_1,\ldots,A_n\in\mathbb R^{n\times n}$ be symmetric matrices satisfying $\|A_i\|_{\mathrm{op}}\le 1$. A coloring is a vector $x\in\{\pm1\}^n$. Variance-sensitive Matrix Spenc…

Let $X=\sum_{k=1}^s g_kA_k$ be the Gaussian matrix model from the noncommutative Khintchine theorem, where $g_k$ are independent standard Gaussian variables and $A_k$ are the assoc…