  This paper is devoted to the study of weak and strong convergence of
derivations, and of the flows associated to them, when dealing with a sequence
of metric measure structures (X,d,m_n), m_n weakly convergent to m. In
particular, under curvature assumptions, either only on the limit metric
structure (X,d,m) or on the whole sequence of metric measure spaces, we provide
several stability results.
