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arXiv · 0909.3881

A Brownian Motion on the Group of Diffeomorphisms of the Circle

Mang Wu
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Abstract

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 another way to construct a Brownian motion that lives exactly in the group of orientation preserving smooth diffeomorphisms of the circle.

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Mang Wu. 2009-12-21. A Brownian Motion on the Group of Diffeomorphisms of the Circle. https://arxiv.org/abs/0909.3881

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