5 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…

For $2\leq p<8$, let $t'_p$ denote the optimal time and let $\beta$ be the parameter of the quantum Ornstein–Uhlenbeck semigroup. There are positive constants…

Let a Hadamard matrix model be a matrix model arising from a complex Hadamard matrix, and call it stationary on its image when its associated integration state has the stationarity…

Let $G\subset S_N^+$ be a transitive closed subgroup. Let $\chi=\sum_i u_{ii}$ be its main character, and let $\mu$ be the distribution of $\chi$. The universal flat model of…

Let $X\in\mathcal{A}\otimes\mathcal{B}$ be a selfadjoint operator with $\langle X\rangle_{ss}^{out}=0$. Let $\mathbb{F}_n(X)$ denote the associated fluctuations operator, and let…