The authors establish weak convergence of fluctuations from the averaging limit in fractional Brownian motion driven slow-fast systems to a limit that includes an extra Gaussian process, using Young-Wiener integrals and Poisson PDE methods in two cases.
Averaging principle for slow-fast systems of PDEs with rough drivers.arXiv preprint arXiv:2510.22269
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Fluctuation from averaging limit under fractional Brownian motion
The authors establish weak convergence of fluctuations from the averaging limit in fractional Brownian motion driven slow-fast systems to a limit that includes an extra Gaussian process, using Young-Wiener integrals and Poisson PDE methods in two cases.