  We study the eigenvector mass distribution for generalized Wigner matrices on
a set of coordinates $I$, where $N^\varepsilon \le | I | \le N^{1-
\varepsilon}$, and prove it converges to a Gaussian at every energy level,
including the edge, as $N\rightarrow \infty$. The key technical input is a
four-point decorrelation estimate for eigenvectors of matrices with a large
Gaussian component. Its proof is an application of the maximum principle to a
new set of moment observables satisfying parabolic evolution equations.
Additionally, we prove high-probability Quantum Unique Ergodicity and Quantum
Weak Mixing bounds for all eigenvectors and all deterministic sets of entries
using a novel bootstrap argument.
