Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group

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dc.creatorGordina, Maria
dc.creatorWu, Mang
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:20:44Z
dc.date.available2026-07-07T09:20:44Z
dc.descriptionAn 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.
dc.identifierhttps://arxiv.org/abs/0802.1955
dc.identifierhttp://arxiv.org/abs/0802.1955
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154813
dc.subjectProbability
dc.subjectDifferential Geometry
dc.titleDiffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group
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