@article{11418,
abstract = {We consider the quadratic form of a general high-rank deterministic matrix on the eigenvectors of an N×N
Wigner matrix and prove that it has Gaussian fluctuation for each bulk eigenvector in the large N limit. The proof is a combination of the energy method for the Dyson Brownian motion inspired by Marcinek and Yau (2021) and our recent multiresolvent local laws (Comm. Math. Phys. 388 (2021) 1005–1048).},
author = {Cipolloni, Giorgio and Erdös, László and Schröder, Dominik J},
issn = {2168-894X},
journal = {Annals of Probability},
number = {3},
pages = {984--1012},
publisher = {Institute of Mathematical Statistics},
title = {{Normal fluctuation in quantum ergodicity for Wigner matrices}},
doi = {10.1214/21-AOP1552},
volume = {50},
year = {2022},
}