We study Monge's optimal transportation problem, where the cost is given by an optimal control cost. We prove the existence and uniqueness of an optimal map under certain regularity conditions on the ...

Optimal transportation networks represent a vital intersection of mathematical optimisation, network theory and applied engineering. These problems focus on designing networks that transport resources ...

At first glance, the delivery of building materials to construction sites might not seem to have much in common with the calibration of derivatives pricing models. However, both problems can be solved ...

Over the past decades, optimal transport theory has found broad applications across both applied and theoretical fields. A central role is played by the so-called fundamental theorem of optimal ...