The random-matrix Markov–Krein correspondence conjecture
Let MNM_NMN be a sequence of unitarily invariant random matrices, let λ=(λ1,…,λN)\lambda=(\lambda_1,\ldots,\lambda_N)λ=(λ1,…,λN) be the eigenvalue vector of MNM_NMN, and let μ=πN,N−1λ\mu=\pi_{N,N-1}\lambdaμ=πN,N−1λ be th…