%0 Journal Article %T Hydrodynamics, probability and the geometry of the diffeomorphisms group %A Ana Bela Cruzeiro %J Mathematics %D 2008 %I arXiv %X We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold's description of the Euler flow. %U http://arxiv.org/abs/0810.5507v2