Laws of large numbers for eigenvectors and eigenvalues associated to random subspaces in a tensor product

S. Belinschi, B. Collins, I. Nechita

Given two positive integers $n$ and $k$ and a parameter $t\in (0,1)$, we choose at random a vector subspace $V_n\subset {\mathbb{C}}^k\otimes {\mathbb{C}}^n$ of dimension $N\sim t…