  We give a geometric proof, offering a new and quite different perspective on
an earlier result of Ledrappier and Young on random transformations. We show
that under mild conditions, sample measures of random diffeomorphisms are SRB
measures. As sample measures are the limits of forward images of stationary
measures, they can be thought of as the analog of physical measures for
deterministic systems. Our results thus show the equivalence of physical and
SRB measures in the random setting, a hoped-for scenario that is not always
true for deterministic maps.
