论文标题
几何粗分微分方程的可访问性问题
The accessibility problem for geometric rough differential equations
论文作者
论文摘要
我们展示了如何使用几何参数来证明可以通过通过分段线性路径驱动相同方程来获得由几何粗糙路径驱动的粗糙微分方程的终端解决方案。为此，我们将Sussmann在矢量场轨道上的开创性工作的一些结果与Cass，Litterer和Lyons开发的流形的粗糙微积分结合在一起。
We show how to use geometric arguments to prove that the terminal solution to a rough differential equation driven by a geometric rough path can be obtained by driving the same equation by a piecewise linear path. For this purpose, we combine some results of the seminal work of Sussmann on orbits of vector fields with the rough calculus on manifolds developed by Cass, Litterer and Lyons.
