Global geometry under isotropic Brownian flows
We consider global geometric properties of a codimension one manifold embedded in Euclideanspace, as it evolves under an isotropic and volume preserving Brownian flow of diffeomorphisms.In particular, we obtain expressions describing the expected rate of growth of the Lipschitz-Killing curvatures, or intrinsic volumes, of the manifold under the flow.These results shed new light on some of the intr
