Alistair Barton

most citedOn Optimal Stochastic Ballistic Transports

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math.AP2018

Dynamic and Stochastic Propagation of Brenier's Optimal Mass Transport

Alistair Barton, Nassif Ghoussoub

We investigate how mass transports that optimize the inner product cost -considered by Y. Brenier- propagate in time along a given Lagrangian. In the deterministic case, we conside…

math.AP2017★ 1 cited

On Optimal Stochastic Ballistic Transports

Alistair Barton, Nassif Ghoussoub

For a given Lagrangian $L : [0, T] \times M \times M^{*} \to R_{+}$ and probability measures $μ \in P (M^{*})$ , $ν \in P (M)$ , we introduce the stochastic…