3 papers
math.FA2011
Brownian motion and Ricci curvature on an infinite dimensional symplectic group related to the diffeomorphism group of the circle
Mang Wu
An embedding of the group $\Diff(S^{1})$ of orientation preserving diffeomorphims of the unit circle into an infinite-dimensional symplectic group, $\Sp(\infty)$, is studied.…
math.PR2009
A Brownian Motion on the Group of Diffeomorphisms of the Circle
Mang Wu
The canonical Brownian motion that P. Malliavin in 1999 and then S. Fang in 2002 constructed lives in the group of Holderian homeomorphisms of the circle. In this paper, we present…
math.PR2008
Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group
Maria Gordina, Mang Wu
An embedding of the group $\Diff(S^{1})$ of orientation preserving diffeomorphims of the unit circle into an infinite-dimensional symplectic group, $\Sp(\infty)$, is studied.…