论文标题
粗糙微分方程的密度的阳性
Positivity of the density for rough differential equations
论文作者
论文摘要
由于Malliavin微积分在粗糙的微分方程中的最新发展，现在众所周知，在自然假设下，固定时间在固定时间的定律具有光滑的密度函数。因此，询问密度是否严格为正的是很自然的。在本文中，我们从AIDA-KUSUOKA-STROOCK一般理论的角度研究了这个问题。
Due to recent developments of Malliavin calculus for rough differential equations, it is now known that, under natural assumptions, the law of a unique solution at a fixed time has a smooth density function. Therefore, it is quite natural to ask whether or when the density is strictly positive. In this paper we study this problem from the viewpoint of Aida-Kusuoka-Stroock's general theory.
