2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166292We consider stochastic flow on n-dimensional Euclidean space driven by fractional Brownian motion with Hurst parameter H greater than half, and study tangent flow and the growth of the Hausdorff measure of sub-manifolds of the ambient n-dimensional Euclidean space, as they evolve under the flow. The main result is a bound on the rate of (global) growth in terms of the (local) Holder norm of the flow.20 pages, To appear in Journal of Theoretical probabilityProbability60G99; 60H10; 60J60Fractional Brownian flowstext