@article{181,
abstract = {We consider large random matrices X with centered, independent entries but possibly di erent variances. We compute the normalized trace of f(X)g(X∗) for f, g functions analytic on the spectrum of X. We use these results to compute the long time asymptotics for systems of coupled di erential equations with random coe cients. We show that when the coupling is critical, the norm squared of the solution decays like t−1/2.},
author = {Erdös, László and Krüger, Torben H and Renfrew, David T},
journal = {SIAM Journal on Mathematical Analysis},
number = {3},
pages = {3271 -- 3290},
publisher = {Society for Industrial and Applied Mathematics },
title = {{Power law decay for systems of randomly coupled differential equations}},
doi = {10.1137/17M1143125},
volume = {50},
year = {2018},
}