论文标题
用分数动力学进行粗糙的均质化
Rough Homogenisation with Fractional Dynamics
论文作者
论文摘要
我们回顾了慢速/快速随机微分方程的最新发展，并在 扩散均质理论具有分数和非混合噪声，并提供了新的示例。 评论的强调将是针对具有分数噪声的两个刻度随机系统的最近开发的有效动态理论：随机平均和“粗糙的扩散均匀化理论”。我们还研究了与对称性扰动的几何模型。
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.
