On Optimal Stochastic Ballistic Transports

Alistair Barton, Nassif Ghoussoub

For a given Lagrangian $L:[0,T]\times M\times M^{\ast }\to {\mathbb{R}}_{+}$ and probability measures $\mu \in \mathcal{P}(M^{\ast })$, $\nu \in \mathcal{P}(M)$, we introduce the stochastic…