# Rough Homogenisation with Fractional Dynamics

@article{Gehringer2020RoughHW, title={Rough Homogenisation with Fractional Dynamics}, author={Johann Gehringer and Xue-Mei Li}, journal={arXiv: Probability}, year={2020} }

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.

#### 4 Citations

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