@article{12707,
abstract = {We establish precise right-tail small deviation estimates for the largest eigenvalue of real symmetric and complex Hermitian matrices whose entries are independent random variables with uniformly bounded moments. The proof relies on a Green function comparison along a continuous interpolating matrix flow for a long time. Less precise estimates are also obtained in the left tail.},
author = {Erdös, László and Xu, Yuanyuan},
issn = {1350-7265},
journal = {Bernoulli},
number = {2},
pages = {1063--1079},
publisher = {Bernoulli Society for Mathematical Statistics and Probability},
title = {{Small deviation estimates for the largest eigenvalue of Wigner matrices}},
doi = {10.3150/22-BEJ1490},
volume = {29},
year = {2023},
}