infinite-dimensional辛群上的圆运动和布朗运动的同构
Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group
摘要：
研究了单位圆$S^1$的保向同态群$\Diff(S^{1})$在无限维辛群$\Sp(\infty)$中的嵌入.作者证明了这种嵌入不是满射的。在$\Sp(\infty)$上构造了布朗运动.本研究的动机是最近的工作H。Airault，S.方和P. Malliavin。
英文摘要：
An embedding of the group $\Diff(S^{1})$ of orientation preserving diffeomorphims of the unit circle $S^1$ into an infinite-dimensional symplectic group, $\Sp(\infty)$, is studied. The authors prove that this embedding is not surjective. A Brownian motion is constructed on $\Sp(\infty)$. This study is motivated by recent work of H. Airault, S. Fang and P. Malliavin.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
