3 problems

Let $X$ be a random matrix whose eigenvectors are delocalised rather than strictly Haar-distributed. In the fixed-rank setting, let $\{\lambda_i\}$ be the eigenvalues of the pertur…

Density-free outlier-law conjecture. The density assumption on the entries of the noise matrix should be dispensable, and the conclusion of Theorem should continue to hold under mi…

Let $M_N=W_N+A_N$ be an Hermitian deformed random matrix such that the empirical spectral measures satisfy…