Dynamical Systems, Linear Programming and the Monge-Kantorovich Problem
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Published on ● Video Link: https://www.youtube.com/watch?v=pDwUtHOhM9s
1Anthony Bloch (University of Michigan)
Dynamical Systems, Linear Programming and the Monge-Kantorovich Problem
Smale@95: A Conference in Honor of Steve Smale
In this talk I will discuss how a class of solutions of the mass transport problem are related to two key interests of Smale -- linear programming and dynamical systems. I will discuss the problem both in the finite-dimensional setting of adjoint orbits and in the infinite-dimensional setting of the semigroup of measure preserving transformations of the annulus. In both cases links will be made with the geometry of convex polytopes. This is joint work with Tudor Ratiu.