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@article{faucris.264335950,
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^{â}) 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 tâ1/2},
author = {Erdos, Laszlo and Krueger, Torben and Renfrew, David},
doi = {10.1137/17M1143125},
faupublication = {no},
journal = {SIAM Journal on Mathematical Analysis},
keywords = {Autocorrelation function; Non-Hermitian random matrix; Time evolution of neural networks},
note = {CRIS-Team Scopus Importer:2021-09-24},
pages = {3271-3290},
peerreviewed = {Yes},
title = {{Power} law decay for systems of randomly coupled differential equations},
volume = {50},
year = {2018}
}