Eigenvector delocalization for nonāHermitian random matrices and applications
Eigenvector delocalization for nonāHermitian random matrices and applications
Improving upon results of Rudelson and Vershynin, we establish delocalization bounds for eigenvectors of independentāentry random matrices. In particular, we show that with high probability every eigenvector is delocalized, meaning any subset of its coordinates carries an appropriate proportion of its mass. Our results hold for random matrices with genuinely ā¦