Effective diffusions with intertwined structures
Effective diffusions with intertwined structures
复制标题
具有交织结构的有效扩散
DOI：
10.21711/231766362023/rmc588
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Xue
中科院分区：
文献类型：
--
作者：
Xue
设p:N- >0m是光滑流形的满射映射。我们关注与一对无零阶项的二阶正定微分算子相关的奇异摄动问题，它们由p交织在一起。我们讨论了随机微分方程的相关随机摄动，并给出了一些例子，包括对测地流的摄动和通过Hopf振动上SDE的均匀化在S^2上构建布朗运动。
Let p:N->M be a surjective map of smooth manifolds. We are concerned with singular perturbation problems associated to a pair of second order positive definite differential operators with no zero order terms, that are intertwined by p. We discuss the associated random perturbations of stochastic differential equations and present a number of examples including perturbation to geodesic flows and construction of a Brownian motion on S^2 through homogenisation of SDE's on the Hopf fibration.
影响因子：
1.7
作者：
Xue-Mei Li
通讯作者：
Xue-Mei Li