论文标题
关于由小部分运动驱动的粗糙微分方程溶液的赫斯特索引中连续性的注释
A note on the continuity in the Hurst index of the solution of rough differential equations driven by a fractional Brownian motion
论文作者
论文摘要
在粗糙的路径框架内,我们证明了解决方案的连续性与赫斯特参数$ h $ h $ h $ in(1/3,1/2] $时,由分数布朗运动驱动的随机微分方程的连续性。
Within the rough path framework we prove the continuity of the solution to random differential equations driven by fractional Brownian motion with respect to the Hurst parameter $H$ when $H \in (1/3, 1/2]$.