 Decarbonization in the energy sector has led to an increase in the use of renewable energy sources, which differ from traditional productions due to their non-dispatchability and lack of inertia. This can lead to large frequency deviations, which can cause grid instabilities and large-scale blackouts. Long-term correlations between noise sources can amplify these deviations, resulting in even more severe consequences. This article was authored by Melvin Taillou, Jason Hines, and Philippe Jacquotte.