Universal entrywise eigenvector fluctuations in delocalized spiked matrix models and asymptotics of rounded spectral algorithms

Shujing Chen, Dmitriy Kunisky

We consider the distribution of the top eigenvector $\hat{v}$ of a spiked matrix model of the form $H=\theta v{v}^{\ast }+W$, in the supercritical regime where $H$ has an outlier eigenva…