| XXVIII Workshop on Geometric Methods in Physics | 28.06-04.07.2009 |
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Remi LeandreLong time behaviour of the Wiener process on a path groupWe define the Haar "measure" on a path group as a distribution and show that it is closely related to the long time behaviour of the Wiener process on a path group. This result extends in infinite dimension the classical relation between the Haar measire on a connected Lie group and the long time behaviour of the Brownian motion on this Lie group. |