3 problems

Let $\vb{A}$ be a large deterministic matrix and $\vb{B}$ a rotationally invariant random matrix. Define the matrix-valued transforms $\mathcal{G}_{\vb{A}+\vb{B}}$,…

Let $\mathbf{B}$ be a large rotationally invariant random matrix, with $\mathfrak{g}_{1,\mathbf{B}}$ and $\mathfrak{g}_{2,\mathbf{B}}$ denoting the corresponding transform componen…

Let $\mathbf{A}$ and $\mathbf{B}$ be two large independent random matrices, and let $\mathbf{U}$ be a Haar-distributed unitary random matrix. For large $z\in\mathbb{C}$ or large…