2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65856We suggest a rigorous definition of the pathwise flux across the boundary of a bounded open set for transient finite energy diffusion processes. The expectation of such a flux has the property of depending only on the current velocity $v$, the nonsymmetric (as regards time reversibility) part of the drift. In the case the diffusion has a limiting velocity we then define the asymptotic (as $R\uparrow\infty$) flux across subsets of the sphere of radius $R$ and compute its expectation, again in terms of $v$.Revised version. To appear in Proceedings of the International Conference on Stochastic Analysis and Applications, a volume dedicated to Paul KreeProbabilitytext