Rough Homogenisation with Fractional Dynamics
Probability
2023-03-07 v1
Abstract
We review recent developments of slow/fast stochastic differential equations, and also present a new result on Diffusion Homogenisation Theory with fractional and non-strong-mixing noise and providing new examples. The emphasise of the review will be on the recently developed effective dynamic theory for two scale random systems with fractional noise: Stochastic Averaging and `Rough Diffusion Homogenisation Theory'. We also study the geometric models with perturbations to symmetries.
Cite
@article{arxiv.2011.00075,
title = {Rough Homogenisation with Fractional Dynamics},
author = {Johann Gehringer and Xue-Mei Li},
journal= {arXiv preprint arXiv:2011.00075},
year = {2023}
}