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arXiv · 2011.00075

Rough Homogenisation with Fractional Dynamics

Johann Gehringer·Xue-Mei Li
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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.

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Johann Gehringer, Xue-Mei Li. 2020-10-30. Rough Homogenisation with Fractional Dynamics. https://doi.org/10.1007/978-3-030-87432-2\_8

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